scholarly journals Int-amplified Endomorphisms on Normal Projective Surfaces

2021 ◽  
Author(s):  
Yohsuke Matsuzawa ◽  
Shou Yoshikawa
Keyword(s):  
Projective Surfaces

scholarly journals From partitions to Hodge numbers of Hilbert schemes of surfaces

2019 ◽  
Vol 378 (2163) ◽  
pp. 20180435 ◽  
Author(s):  
Nate Gillman ◽  
Xavier Gonzalez ◽  
Ken Ono ◽  
Larry Rolen ◽  
Matthew Schoenbauer
Keyword(s):  
Partition Function ◽  
Royal Society ◽  
Asymptotic Properties ◽  
Circle Method ◽  
100Th Anniversary ◽  
Hilbert Schemes ◽  
Hodge Numbers ◽  
Projective Surfaces

We celebrate the 100th anniversary of Srinivasa Ramanujan's election as a Fellow of the Royal Society, which was largely based on his work with G. H. Hardy on the asymptotic properties of the partition function. After recalling this revolutionary work, marking the birth of the ‘circle method’, we present a contemporary example of its legacy in topology. We deduce the equidistribution of Hodge numbers for Hilbert schemes of suitable smooth projective surfaces. This article is part of a discussion meeting issue ‘Srinivasa Ramanujan: in celebration of the centenary of his election as FRS’.

scholarly journals Rational cuspidal curves in projective surfaces. Topological versus algebraic obstructions

2017 ◽  
Vol 28 (14) ◽  
pp. 1750106
Author(s):  
Maciej Borodzik
Keyword(s):  
Floer Homology ◽  
Singular Points ◽  
The Other ◽  
Heegaard Floer Homology ◽  
Heegaard Floer ◽  
Bezout Theorem ◽  
Projective Surfaces

We study rational cuspidal curves in projective surfaces. We specify two criteria obstructing possible configurations of singular points that may occur on such curves. One criterion generalizes the result of Fernandez de Bobadilla, Luengo, Melle–Hernandez and Némethi and is based on the Bézout theorem. The other one is a generalization of the result obtained by Livingston and the author and relies on Ozsváth–Szabó inequalities for [Formula: see text]-invariants in Heegaard Floer homology. We show by means of explicit calculations that the two approaches give very similar obstructions.

scholarly journals Del Pezzo orders on projective surfaces

2003 ◽  
Vol 173 (1) ◽  
pp. 144-177 ◽  
Author(s):  
Daniel Chan ◽  
Rajesh S. Kulkarni
Keyword(s):  
Del Pezzo ◽  
Projective Surfaces

scholarly journals A class of noncommutative projective surfaces

2009 ◽  
Vol 99 (1) ◽  
pp. 100-144 ◽  
Author(s):  
D. Rogalski ◽  
J. T. Stafford
Keyword(s):  
Projective Surfaces
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