Positive characteristic algebraic geometry-Reference-Cited by-同舟云学术

Positive characteristic algebraic geometry

Published:2017 Issue: Volume: Page:33-80
ISSN:0082-0717
Container-title:Proceedings of Symposia in Pure Mathematics
language:en
Short-container-title:

Author:

Patakfalvi Zsolt,Schwede Karl,Tucker Kevin

Abstract

These lecure notes contain a detailed introduction to the recent F-singularity theory methods in positive characteristic algebraic geometry. We carefully define the different local and global notions of F-singularity theory, show how they relate to other notions of algebraic geometry, as well as we include some applications.

Publisher

American Mathematical Society

Reference114 articles.

1. Complex surfaces of general type: some recent progress;Bauer, Ingrid C.,2006

2. [BST13] B. Bhatt, K. Schwede, and S. Takagi: The weak ordinarity conjecture and 𝐹-singularities, arXiv:1307.3763, to appear in a volume of Advanced Studies in Pure Mathematics.

3. Existence of flips and minimal models for 3-folds in char 𝑝;Birkar, Caucher;Ann. Sci. \'{E}c. Norm. Sup\'{e}r. (4),2016

4. Multiplier ideals and modules on toric varieties;Blickle, Manuel;Math. Z.,2004

5. Test ideals via algebras of 𝑝^{-𝑒}-linear maps;Blickle, Manuel;J. Algebraic Geom.,2013

Cited by 4 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. Direct images of pluricanonical bundles and Frobenius stable canonical rings of fibers;Algebraic Geometry;2024-01-01

2. Tate algebras and Frobenius non-splitting of excellent regular rings;Journal of the European Mathematical Society;2022-11-01

3. Seshadri constants for vector bundles;Journal of Pure and Applied Algebra;2021-04

4. THE GAMMA CONSTRUCTION AND ASYMPTOTIC INVARIANTS OF LINE BUNDLES OVER ARBITRARY FIELDS;Nagoya Mathematical Journal;2019-09-23