Zsolt Patakfalvi
- The weak Beauville--Bogomolov decomposition in characteristic p≥ 0
2019/12/29 by Zsolt Patakfalvi, Maciej Zdanowicz, Patakfalvi, Zsolt +1 · 3 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Differential Equations and Dynamical Systems #Advanced Algebra and Geometry
- On subadditivity of Kodaira dimension in positive characteristic
2013/08/25 by Zsolt Patakfalvi, Patakfalvi, Zsolt · 2 citations
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Geometric and Algebraic Topology
- Ampleness of the CM line bundle on the moduli space of canonically polarized varieties
2015/03/30 by Zsolt Patakfalvi, Chenyang Xu, Patakfalvi, Zsolt +1 · 1 citation
Mathematics · #14E30 #14J10 #14J15 #32Q05 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds
- Perfectoid pure singularities
2024/09/26 by Bhargav Bhatt, Bhatt, Bhargav, Linquan Ma +11 · 4 citations
Mathematics · #11G25 #13A35 #14B05 #14F18 #14G45 #Advanced Differential Equations and Dynamical Systems #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras
- Singularities of General Fibers and the LMMP
2017/08/14 by Zsolt Patakfalvi, Joe Waldron, Patakfalvi, Zsolt +1 · 1 citation
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology
- Generic vanishing in characteristic p>0 and the geometry of theta divisors
2020/09/25 by Christopher D. Hacon, Hacon, Christopher D., Zsolt Patakfalvi +1 · 1 citation
Mathematics · #14E99 #14F10 #14G17 #14K15 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics
- The Demailly--Peternell--Schneider conjecture is true in positive characteristic
2023/05/03 by Sho Ejiri, Zsolt Patakfalvi, Ejiri, Sho +1 · 1 citation
Mathematics · #14D99 #14E99 #14G17 #14J10 #14K99 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Meromorphic and Entire Functions