Author:
Chatzistamatiou Andre,Rülling Kay
Abstract
We prove that the higher direct images of the structure sheaf under a birational and projective morphism between excellent and regular schemes vanish.
Subject
Algebra and Number Theory
Reference17 articles.
1. Residues and Duality
2. Intersection Theory
3. Éléments de géométrie algébrique. IV. Étude locale des schémas et des morphismes de schémas. II;Grothendieck;Publ. Math. Inst. Hautes Études Sci.,1965
4. Hodge–Witt cohomology and Witt-rational singularities;Chatzistamatiou;Doc. Math.,2012
5. Rational points over finite fields for regular models of algebraic varieties of Hodge type ࣙ1
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Non-pluripolar products on vector bundles and Chern–Weil formulae;Mathematische Annalen;2024-03-20
2. Birational invariance of $$H^1({\mathcal {O}})$$;Archiv der Mathematik;2023-11-23
3. Intermediate Jacobians and rationality over arbitrary fields;Annales Scientifiques de l École Normale Supérieure;2023-10-03
4. The Log Product Formula in Quantum K-theory;Mathematical Proceedings of the Cambridge Philosophical Society;2023-04-11
5. Global Frobenius liftability I;Journal of the European Mathematical Society;2021-04-14