output
20062026
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing math.AGShow all

13 papers · 1 filter

math.AG2025

Algebraic hyperbolicity of adjoint linear systems on spherical varieties

Minseong Kwon, Haesong Seo

Moraga and Yeong conjectured that for a smooth complex projective variety of dimension , an ample line bundle on and an integer , very general element…

math.AG2025

A Hopf index for isotropic sections of orthogonal bundles

Martijn Kool, Jeongseok Oh, Jørgen Vold Rennemo +1

The Hopf index equates the multiplicity of a zero of a section of a vector bundle with a winding number. We give eight analogues for isotropic sections of bundles with quadratic fo…

math.AG2024★ 1 cited

Quantum Lefschetz without curves

Jeongseok Oh, Richard P. Thomas

Given one quasi-smooth derived space cut out of another by a section of a 2-term complex of bundles, we give two formulae for its virtual cycle. They are modelled on the the -fi…

math.AG2020★ 1 cited

On the first non-trivial strand of syzygies of projective schemes and Condition

Jeaman Ahn, Kangjin Han, Sijong Kwak

Let be any -dimensional closed subscheme. We are mainly interested in two notions related to syzygies: one is the property $\mathbf{N}_{d,p}~(d\ge 2,…

math.AG2018

Multiplicative property of localized Chern characters for 2-periodic complexes

Jeongseok Oh

We prove the multiplicative property of localized Chern characters. As a direct consequence, a localized Chern character gives rise to a ring homomorphism from the K-group of perio…

math.AG2018

Lower semi-continuity of the Waldschmidt constants

Daseul Bae

In this paper, we study the Waldschmidt constant of a generalized fat point subscheme of , where are essentially distinct po…

math.AG2017

Positivity of line bundles on general blow-ups of abelian surfaces

Sanghyeon Lee, Jaesun Shin

Let be a polarized abelian surface, and let be a line bundle on , where $π:{\rm Bl}_{r}(S) \rightarrow S…

math.AG2017★ 1 cited

Extended Okounkov bodies and multi-point Seshadri constants

Jaesun Shin

Based on the work of Okounkov, Kaveh-Khovanskii and Lazarsfeld-Mustata independently associated a convex body, called the Okounkov body, to a big divisor on a normal projective var…

math.AG2017

Moduli map of second fundamental forms on a nonsingular intersection of two quadrics

Yewon Jeong

In [GH], Griffiths and Harris asked whether a projective complex submanifold of codimension two is determined by the moduli of its second fundamental forms. More precisely, given a…

math.AG2015★ 8 cited

Exceptional collections on Dolgachev surfaces associated with degenerations

Yonghwa Cho, Yongnam Lee

Dolgachev surfaces are simply connected minimal elliptic surfaces with and of Kodaira dimension 1. These surfaces were constructed by logarithmic transformations of ratio…

math.AG2014★ 4 cited

Redundant blow-ups of rational surfaces with big anticanonical divisor

DongSeon Hwang, Jinhyung Park

We completely classify redundant blow-ups appearing in the theory of rational surfaces with big anticanonical divisor due to Sakai. In particular, we construct a rational surface w…

math.AG2014

Skoda division of line bundle sections and pseudo-division

Dano Kim

We first present a Skoda type division theorem for holomorphic sections of line bundles on a projective variety which is essentially the most general, compared to previous ones. It…

math.AG2014

Ulrich bundles on rational surfaces with an anticanonical pencil

Yeongrak Kim

Ulrich bundles are the simplest sheaves from the viewpoint of cohomology tables. Eisenbud and Schreyer conjectured that every projective variety carries an Ulrich bundle, which mea…