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Published: 9 March 2023
Last updated: 10 March 2023

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1

Fargues, Laurent. Variétés de Shimura, espaces de Rapoport-Zink et correspondances de Langlands locales. Paris: Société Mathématique de France, 2004.

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2

Benjamin, Howard, and Kudla Stephen S. 1950-, eds. Arithmetic divisors on orthogonal and unitary Shimura varieties. Paris: Société Mathématique de France, 2020.

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3

Hida, Haruzo. p-Adic Automorphic Forms on Shimura Varieties. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4684-9390-0.

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4

Dung, Nguyen Chi. Geometric pullback formula for unitary Shimura varieties. [New York, N.Y.?]: [publisher not identified], 2022.

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5

Atanasov, Stanislav Ivanov. Derived Hecke Operators on Unitary Shimura Varieties. [New York, N.Y.?]: [publisher not identified], 2022.

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6

Hida, Haruzo. p-Adic Automorphic Forms on Shimura Varieties. New York, NY: Springer New York, 2004.

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7

Harris, Michael. Boundary cohomology of Shimura varieties, III: Coherent cohomology on higher-rank boundary strata and applications to Hodge theory. Paris, France: Société Mathématique de France, 2001.

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8

Harris, Michael. Boundary cohomology of Shimura varieties, III: Coherent cohomology on higher-rank boundary strata and applications to Hodge theory. Paris, France: Société mathématique de France, 2001.

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9

On the cohomology of certain noncompact Shimura varieties. Princeton: Princeton University Press, 2010.

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10

Automorphic forms and Shimura varieties of PGSp (2). Singapore: World Scientific Pub., 2005.

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11

Reimann, Harry. The semi-simple zeta function of quaternionic Shimura varieties. Berlin, Heidelberg: Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0093995.

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12

Reimann, Harry. The semi-simple zeta function of quaternionic Shimura varieties. Berlin: Springer, 1997.

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13

Reimann, Harry. The semi-simple zeta function of quaternionic Shimura varieties. Berlin: Springer, 1997.

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14

Alsina, Montserrat. Quaternion orders, quadratic forms, and Shimura curves. Providence, R.I: American Mathematical Society, 2004.

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15

Shouwu, Zhang, and Zhang Wei 1981-, eds. Gross-Zagier formula on Shimura curves. Princeton: Princeton University Press, 2013.

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16

Harder, Günter. Eisensteinkohomologie und die Konstruktion gemischter Motive. Berlin: Springer-Verlag, 1993.

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17

1948-, Rapoport M., and Yang Tonghai 1963-, eds. Modular forms and special cycles on Shimura curves. Princeton: Princeton University Press, 2006.

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18

1953-, Clozel Laurent, and Milne J. S. 1942-, eds. Automorphic forms, Shimura varieties, and L-functions: Proceedings of a conference held at the University of Michigan, Ann Arbor, July 6-16, 1988. Boston: Academic Press, 1990.

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19

Institute, Clay Mathematics. Harmonic analysis, the trace formula, and Shimura varieties: Proceedings of the Clay Mathematics Institute, 2003 Summer School, the Fields Institute, Toronto, Canada, June 2-27, 2003. Providence, RI: American Mathematical Society ;Clay Mathematics Institute, 2006.

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20

1944-, Arthur James, Ellwood D. 1966-, and Kottwitz Robert E, eds. Harmonic analysis, the trace formula and Shimura varieties: Proceedings of the Clay Mathematics Institute, 2003 Summer School, the Fields Institute, Toronto, Canada, June 2-27, 2003. Providence, RI: American Mathematical Society, 2005.

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21

The geometric and arithmetic volume of Shimura varieties of orthogonal type. Providence, Rhode Island, USA: American Mathematical Society, 2014.

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22

1977-, Lawson Tyler, ed. Topological automorphic forms. Providence, R.I: American Mathematical Society, 2010.

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23

Andreatta, F. Arithmétique p-adique des formes de Hilbert. Paris: Société mathématique de France, 2016.

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24

Fermat's last theorem. Providence, Rhode Island: American Mathematical Society, 2013.

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25

On certain L-functions: Conference in honor of Freydoon Shahidi on certain L-functions, Purdue Univrsity, West Lafayette, Indiana, July 23-27, 2007. Providence, R.I: American Mathematical Society, 2011.

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26

Haines, Thomas, and Michael Harris, eds. Shimura Varieties. Cambridge University Press, 2020. http://dx.doi.org/10.1017/9781108649711.

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27

Shimura Varieties. Cambridge University Press, 2020.

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28

Harris, Michael, and Thomas Haines. Shimura Varieties. Cambridge University Press, 2020.

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29

Cattani, Eduardo, Fouad El Zein, Phillip A. Griffiths, and Lê Dũng Tráng, eds. Shimura Varieties: A Hodge-Theoretic Perspective. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161341.003.0012.

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Abstract:
This chapter discusses certain cleverly constructed unions of modular varieties, called Shimura varieties, in the Hodge-theoretic perspective. The Shimura varieties can show the minimal (i.e., reflex) field of definition of a Hodge/zero locus setting, and also reveal quite a bit about the interplay between “upstairs” and “downstairs” (in Ď and Γ‎\D, respectively) fields of definition of subvarieties. Hence, the chapter defines the Hermitian symmetric domains in D as well as the locally symmetric varieties Γ‎\D. It then discusses the theory of complex multiplication, before introducing Shimura varieties ∐ᵢ(Γ‎ᵢ\D) as well as three key Adélic lemmas, before finally laying out the fields of definition.
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30

Cycles, Motives and Shimura Varieties. Narosa Publishing House, 2011.

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31

Ichino, Atsushi, and Kartik A. Prasanna. Periods of Quaternionic Shimura Varieties. I. American Mathematical Society, 2021.

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32

Automorphic Forms and Shimura Varieties of PGSp(2). World Scientific Publishing Company, 2005.

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33

The Geometry and Cohomology of Some Simple Shimura Varieties. Princeton University Press, 2001.

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34

Lan, Kai-Wen. Arithmetic Compactifications of Pel-Type Shimura Varieties. Princeton University Press, 2013.

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35

Arithmetic compactifications of PEL-type Shimura varieties. 2013.

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36

Hida, Haruzo. p-Adic Automorphic Forms on Shimura Varieties. Springer, 2004.

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37

Lan, Kai-Wen. Arithmetic Compactifications of PEL-Type Shimura Varieties. Princeton University Press, 2013.

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38

Harris, Michael. Boundary Cohomology of Shimura Varieties, III: Coherent Cohomology on Higher Rank. Societe Mathematique De France, 2002.

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39

Reimann, Harry. Semi-Simple Zeta Function of Quaternionic Shimura Varieties. Springer London, Limited, 2006.

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40

On The Cohomology Of Certain Noncompact Shimura Varieties. Princeton University Press, 2010.

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41

Taylor, Richard, and Michael Harris. The Geometry and Cohomology of Some Simple Shimura Varieties. Princeton University Press, 2001.

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42

Taylor, Richard, and Michael Harris. Geometry and Cohomology of Some Simple Shimura Varieties. (Am-151). Princeton University Press, 2001.

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43

Hodge Cycles, Motives, and Shimura Varieties (Lecture Notes in Mathematics). Springer, 1989.

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44

Variétés de Shimura, espaces de Rapoport-Zink et correspondances de Langlands locales. Paris: Société Mathématique de France, 2004.

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45

Automorphic Forms, Shimura Varieties, and L-Functions: Proceedings of a Conference Held at the University of Michigan, Ann Arbor, July 6-16 1988. Elsevier Science & Technology Books, 1990.

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46

Clozel, Laurent. Automorphic Forms, Shimura Varieties and L-Functions: Proceedings of a Conference Held at the University of Michigan, Ann Arbor, July 6-16, 1988 (Pe). Academic Pr, 1990.

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47

Clozel, Laurent. Automorphic Forms, Shimura Varieties and L-Functions: Proceedings of a Conference Held at the University of Michigan, Ann Arbor, July 6-16, 1988 (Pe). Academic Pr, 1990.

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48

Clozel, Laurent. Automorphic Forms, Shimura Varieties and L-Functions: Proceedings of a Conference Held at the University of Michigan, Ann Arbor, July 6-16, 1988 (Pe). Academic Pr, 1990.

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49

Clozel, Laurent. Automorphic Forms, Shimura Varieties and L-Functions: Proceedings of a Conference Held at the University of Michigan, Ann Arbor, July 6-16, 1988 (Pe). Academic Pr, 1990.

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50

Morel, Sophie. On the Cohomology of Certain Non-Compact Shimura Varieties (Am-173). Princeton University Press, 2010.

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