5 citations · 12 across the 6 of their papers we have counts for
11 papers
An introduction to Geometric Manin's conjecture
Sho Tanimoto
This is a survey paper on Geometric Manin's conjecture which was proposed by Brian Lehmann and the author. We introduce Geometric Manin's conjecture (GMC) and review some recent pr…
Classifying sections of del Pezzo fibrations, II
Brian Lehmann, Sho Tanimoto
Let be a del Pezzo surface over the function field of a complex curve. We study the behavior of rational points on leading to bounds on the counting function in Geometric M…
Campana points, Height zeta functions, and log Manin's conjecture
Sho Tanimoto
This is a report of the author's talk at RIMS workshop 2020 Problems and Prospects in Analytic Number Theory held online on Zoom. We discuss a recent formulation of log Manin's con…
The spaces of rational curves on del Pezzo threefolds of degree one
Nobuki Shimizu, Sho Tanimoto
We prove the irreducibility of moduli spaces of rational curves on a general del Pezzo threefold of Picard rank and degree . As corollaries, we confirm Geometric Manin's con…
Movable Bend and Break for sections of del Pezzo fibrations
Sho Tanimoto
This is a report of the author's talk at Algebra Symposium 2019 held at Tohoku University. We discuss some improvements of Mori's Bend and Break for sections of del Pezzo fibration…
Campana points of bounded height on vector group compactifications
Marta Pieropan, Arne Smeets, Sho Tanimoto +1
We initiate a systematic quantitative study of subsets of rational points that are integral with respect to a weighted boundary divisor on Fano orbifolds. We call the points in the…