3 citations · 6 across the 10 of their papers we have counts for
12 papers
Splitting and loop theorems in logarithmic Gromov--Witten theory
Leo Herr, David Holmes, Pim Spelier
We define a new theory of logarithmic Gromov--Witten invariants allowing negative contact orders using pierced logarithmic curves. We prove that these classes satisfy logarithmic b…
Splitting formulas for the logarithmic double ramification cycle
Pim Spelier
The logarithmic double ramification cycle is roughly a logarithmic Gromov--Witten invariant of . For classical Gromov--Witten invariants, formulas for the pullback al…
The log Grothendieck ring of varieties
Andreas Gross, Leo Herr, David Holmes +2
We define a Grothendieck ring of varieties for log schemes. It is generated by one additional class ``'' over the usual Grothendieck ring. We show the naïve definition of log Ho…
Logarithmic tautological rings of the moduli spaces of curves
Rahul Pandharipande, Dhruv Ranganathan, Johannes Schmitt +1
We define the logarithmic tautological rings of the moduli spaces of Deligne-Mumford stable curves (together with a set of additive generators lifting the decorated strata classes…
Polynomiality of the double ramification cycle
Pim Spelier
Let be a sequence with sum . The double ramification cycle is the vir…
Local heights on hyperelliptic curves and quadratic Chabauty
L. Alexander Betts, Juanita Duque-Rosero, Sachi Hashimoto +1
Quadratic Chabauty is a -adic method for determining rational points on curves. Local heights are arithmetic invariants used in the quadratic Chabauty method. We present an algo…
Logarithmic cohomological field theories
David Holmes, Pim Spelier
We introduce a new logarithmic structure on the moduli stack of stable curves, admitting logarithmic gluing maps. Using this we define cohomological field theories taking values in…
Geometric quadratic Chabauty and -adic heights
Juanita Duque-Rosero, Sachi Hashimoto, Pim Spelier
Let be a curve of genus over whose Jacobian has Mordell--Weil rank and Néron--Severi rank . When , the geometric quadratic Chabauty m…
The moduli stack of enriched structures and a logarithmic compactification
Pim Spelier
Enriched curves have been studied over algebraically closed fields by Mainò ([Mai98]) and recently over general base schemes in [BH19]. In this paper, we study enriched curves from…
A geometric linear Chabauty comparison theorem
Sachi Hashimoto, Pim Spelier
The Chabauty-Coleman method is a -adic method for finding all rational points on curves of genus whose Jacobians have Mordell-Weil rank . Recently, Edixhoven and Lido…
The complexity of root-finding in orders
Pim Spelier
Given an order, a commutative ring whose additive group is free of finite rank, a natural computational question is whether a fixed univariate polynomial has…
The complexity of intersecting subproducts with subgroups in Cartesian powers
Pim Spelier
Given a finite abelian group and , there are two natural types of subsets of the Cartesian power ; namely, Cartesian powers where is a subset of…