WebThe Chevalley-Weil theorem is indispensable in the Diophantine analysis, because it reduces a Diophantine problem on the variety V to that on the covering variety Ve, which … WebDec 10, 2024 · Y. Bilu and J. Gillibert, Chevalley-Weil theorem and subgroups of class groups, Israel Journal of Mathematics 226 (2024), 927–956. Article MathSciNet Google Scholar . J. Gillibert and A. Levin, Pulling back torsion line bundles to ideal classes, Mathematical Research Letters 19 (2012), 1171–1184. Article MathSciNet Google Scholar
Lecture 9 Chevalley’s Theorem - Massachusetts Institute of …
In his PhD thesis, Chevalley made an important contribution to the technical development of class field theory, removing a use of L-functions and replacing it by an algebraic method. At that time use of group cohomology was implicit, cloaked by the language of central simple algebras. In the introduction to André Weil's Basic Number Theory, Weil attributed the book's adoption of that path to an unpublished manuscript by Chevalley. WebChevalley's semi-continuity theorem. Finally, the author's detailed study of Weil and Cartier divisors provides a solid background for modern intersection theory. This is an excellent textbook for those who seek an efficient and rapid introduction to the geometric applications of commutative algebra. prayer points against poverty
Chern-Weil theory in nLab - ncatlab.org
Web2 The Absolute Chevalley-Weil Theorem In this section we prove Theorem 1.9. The idea of the proof is as follows: we take Sto be the set whose existence is ensured by … WebOct 20, 2024 · We prove an analogue for algebraic stacks of Hermite–Minkowski's finiteness theorem from algebraic number theory, and establish a Chevalley–Weil type theorem for integral points on stacks. As an application of our results, we prove analogues of the Shafarevich conjecture for some surfaces of general type. WebChevalley–Warning theorem concerning solvability of polynomial equations over finite fields. Chevalley restriction theorem identifying the invariants of the adjoint action … scituate car show