P. Spelier

activity

20212026

most citedGeometric quadratic Chabauty and

p

-adic heights

3 citations · 6 across the 10 of their papers we have counts for

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Showing 2024Show all

4 papers · 1 filter

math.AG2024

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 `` $P$ '' over the usual Grothendieck ring. We show the naïve definition of log Ho…

math.AG2024★ 1 cited

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…

math.AG2024

Polynomiality of the double ramification cycle

Pim Spelier

Let $A = (a_{1}, \dots, a_{n}) \in Z^{n}$ be a sequence with sum $k (2 g - 2 + n)$ . The double ramification cycle $DR_{g} (A) \in CH^{g} (M ˉ_{g, n})$ is the vir…

math.NT2024

Local heights on hyperelliptic curves and quadratic Chabauty

L. Alexander Betts, Juanita Duque-Rosero, Sachi Hashimoto +1

Quadratic Chabauty is a $p$ -adic method for determining rational points on curves. Local heights are arithmetic invariants used in the quadratic Chabauty method. We present an algo…