Academic literature on the topic 'Degree of irrationality'
Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles
Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Degree of irrationality.'
Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.
You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.
Journal articles on the topic "Degree of irrationality":
Yoshihara, Hisao. "Degree of Irrationality of Hyperelliptic Surfaces." Algebra Colloquium 7, no. 3 (August 2000): 319–28. http://dx.doi.org/10.1007/s10011-000-0319-3.
Tokunaga, H., and H. Yoshihara. "Degree of Irrationality of Abelian Surfaces." Journal of Algebra 174, no. 3 (June 1995): 1111–21. http://dx.doi.org/10.1006/jabr.1995.1170.
Yoshihara, H. "Degree of Irrationality of an Algebraic Surface." Journal of Algebra 167, no. 3 (August 1994): 634–40. http://dx.doi.org/10.1006/jabr.1994.1206.
Chen, Nathan. "Degree of irrationality of very general abelian surfaces." Algebra & Number Theory 13, no. 9 (December 7, 2019): 2191–98. http://dx.doi.org/10.2140/ant.2019.13.2191.
Bastianelli, Francesco, Pietro De Poi, Lawrence Ein, Robert Lazarsfeld, and Brooke Ullery. "Measures of irrationality for hypersurfaces of large degree." Compositio Mathematica 153, no. 11 (September 4, 2017): 2368–93. http://dx.doi.org/10.1112/s0010437x17007436.
Leshin, Jonah. "On the degree of irrationality in Noether’s problem." International Journal of Number Theory 12, no. 05 (May 10, 2016): 1209–18. http://dx.doi.org/10.1142/s1793042116500743.
MARTIN, Olivier. "The degree of irrationality of most abelian surfaces is 4." Annales scientifiques de l'École Normale Supérieure 55, no. 2 (2022): 569–74. http://dx.doi.org/10.24033/asens.2502.
Yoshihara, Hisao. "Degree of irrationality of a product of two elliptic curves." Proceedings of the American Mathematical Society 124, no. 5 (1996): 1371–75. http://dx.doi.org/10.1090/s0002-9939-96-03375-8.
Stapleton, David, and Brooke Ullery. "The degree of irrationality of hypersurfaces in various Fano varieties." manuscripta mathematica 161, no. 3-4 (January 9, 2019): 377–408. http://dx.doi.org/10.1007/s00229-018-01101-w.
Kuznetsov, Sergey. "Monad Theory of Structural Synthesis of Mechanisms." MATEC Web of Conferences 346 (2021): 03041. http://dx.doi.org/10.1051/matecconf/202134603041.
Dissertations / Theses on the topic "Degree of irrationality":
Bai, Chenyu. "Hodge Theory, Algebraic Cycles of Hyper-Kähler Manifolds." Electronic Thesis or Diss., Sorbonne université, 2024. http://www.theses.fr/2024SORUS081.
This thesis is devoted to the study of algebraic cycles in projective hyper-Kähler manifolds and strict Calabi-Yau manifolds. It contributes to the understanding of Beauville's and Voisin's conjectures on the Chow rings of projective hyper-Kähler manifolds and strict Calabi-Yau manifolds. It also studies some birational invariants of projective hyper-Kähler manifolds.The first part of the thesis, appeared in Mathematische Zeitschrift [C. Bai, On Abel-Jacobi maps of Lagrangian families, Math. Z. 304, 34 (2023)] and presented in Chapter 2, studies whether the Lagrangian subvarieties in a hyper-Kähler manifold sharing the same cohomological class have the same Chow class as well. We study the notion of Lagrangian families and its associated Abel-Jacobi maps. We take an infinitesimal approach to give a criterion for the triviality of the Abel-Jacobi map of a Lagrangian family, and use this criterion to give a negative answer to the above question, adding to the subtleties of a conjecture of Voisin. We also explore how the maximality of the variation of the Hodge structures on the degree 1 cohomology the Lagrangian family implies the triviality of the Abel-Jacobi map. The second part of the thesis, to appear in International Mathematics Research Notices [C. Bai, On some birational invariants of hyper-Kähler manifolds, ArXiv: 2210.12455, to appear in International Mathematics Research Notices, 2024] and presented in Chapter 3, studies the degree of irrationality, the fibering gonality and the fibering genus of projective hyper-Kähler manifolds, with emphasis on the K3 surfaces case, en mettant l'accent sur le cas des surfaces K3. We first give a slight improvement of a result of Voisin on the lower bound of the degree of irrationality of Mumford-Tate general hyper-Kähler manifolds. We then study the relation of the above three birational invariants for projective K3 surfaces of Picard number 1, adding the understandinf of a conjecture of Bastianelli, De Poi, Ein, Lazarsfeld, Ullery on the asymptotic behavior of the degree of irrationality of very general projective K3 surfaces. The third part of the thesis, presented in Chapter 4, studies the higher dimensional Voisin maps on strict Calabi-Yau manifolds. Voisin constructed self-rational maps of Calabi-Yau manifolds obtained as varieties of r-planes in cubic hypersurfaces of adequate dimension. This map has been thoroughly studied in the case r=1, which is the Beauville-Donagi case. For higher dimensional cases, we first study the action of the Voisin map on the holomorphic forms. We then prove the generalized Bloch conjecture for the action of the Voisin maps on Chow groups for the case of r=2. Finally, via the study of the Voisin map, we provide evidence for a conjecture of Voisin on the existence of a special 0-cycle on strict Calabi-Yau manifolds
Books on the topic "Degree of irrationality":
Wedgwood, Ralph. The Value of Rationality. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198802693.001.0001.
Book chapters on the topic "Degree of irrationality":
Wedgwood, Ralph. "The Idea of Rational Probability." In Rationality and Belief, 191—C9P82. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780198874492.003.0010.
Lo, Andrew W., and Ruixun Zhang. "Mutation." In The Adaptive Markets Hypothesis, 73–90. Oxford University PressOxford, 2024. http://dx.doi.org/10.1093/oso/9780199681143.003.0003.
Merritt, Olivia A., and Christine Purdon. "Assessing Comorbidity, Insight, Family, and Functioning." In The Oxford Handbook of Obsessive-Compulsive and Related Disorders, 420—C16P249. 2nd ed. Oxford University Press, 2023. http://dx.doi.org/10.1093/oxfordhb/9780190068752.013.16.
Stanton, John, and Craig Prescott. "12. Judicial review: irrationality and proportionality." In Public Law, 487–510. Oxford University Press, 2020. http://dx.doi.org/10.1093/he/9780198852278.003.0012.
Stanton, John, and Craig Prescott. "12. Judicial review: irrationality and proportionality." In Public Law. Oxford University Press, 2018. http://dx.doi.org/10.1093/he/9780198722939.003.0012.
Stanton, John, and Craig Prescott. "13. Judicial review: unreasonableness and proportionality." In Public Law, 498–521. Oxford University Press, 2022. http://dx.doi.org/10.1093/he/9780192857460.003.0013.
Wedgwood, Ralph. "Uniqueness and Indeterminacy." In Rationality and Belief, 211—C10P58. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780198874492.003.0011.
Nagel, Robert F. "Marching on Constitution Avenue: Public Protest and the Court." In Judicial Power And American Character, Censoring Ourselves in an Anxious Age, 45–59. Oxford University PressNew York, NY, 1994. http://dx.doi.org/10.1093/oso/9780195089011.003.0004.
Tansey, Michael. "Of Chickens and Eggs: The Sponsor’s Dilemma." In Intelligent Drug Development. Oxford University Press, 2014. http://dx.doi.org/10.1093/oso/9780199974580.003.0014.