scispace - formally typeset
D

David Holmes

Researcher at Leiden University

Publications -  44
Citations -  393

David Holmes is an academic researcher from Leiden University. The author has contributed to research in topics: Moduli space & Abelian group. The author has an hindex of 11, co-authored 40 publications receiving 296 citations. Previous affiliations of David Holmes include University of Warwick.

Papers
More filters
Journal ArticleDOI

Extending the double ramification cycle by resolving the Abel-Jacobi map

TL;DR: In this paper, the authors construct a universal resolution of the Abel-Jacobi map and thereby extend the double ramification cycle to the whole moduli of stable curves, and show that their extension coincides with the cycle constructed by Li, Graber, Vakil via a virtual fundamental class on a space of rubber maps.
Journal ArticleDOI

Néron models of jacobians over base schemes of dimension greater than 1

David Holmes
- 01 Feb 2019 - 
TL;DR: In this article, the authors investigated to what extent the theory of Neron models of jacobians and of abel-jacobi maps extends to relative curves over base schemes of dimension greater than 1 and gave a necessary and sufficient criterion for the existence of a Neron model.
Journal ArticleDOI

Computing Néron–Tate heights of points on hyperelliptic Jacobians

TL;DR: This work makes it explicit that the Neron–Tate height of a point on the Jacobian of a curve can be expressed as the self-intersection of a corresponding divisor on a regular model of the curve, and gives an algorithm for computing Neron-Tate heights on Jacobians of (hyper)elliptic curves.
Journal ArticleDOI

Extending the double ramification cycle by resolving the Abel-Jacobi map

TL;DR: In this paper, a universal resolution of the Abel-Jacobian map is constructed, and the double ramification cycle is extended to the moduli of stable curves over smooth curves, which coincides with the cycle constructed by Li, Graber, Vakil via a virtual fundamental class of rubber maps.
Posted Content

Pixton's formula and Abel-Jacobi theory on the Picard stack

TL;DR: In this paper, it was shown that the fundamental classes of the moduli spaces of twisted meromorphic differentials in the Picard stack are exactly given by Pixton's formula.