6 citations · 9 across the 6 of their papers we have counts for
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Geometric consistency of Manin's Conjecture
Brian Lehmann, Akash Kumar Sengupta, Sho Tanimoto
We conjecture that the exceptional set in Manin's Conjecture has an explicit geometric description. Our proposal includes the rational point contributions from any generically fini…
Manin's Conjecture and the Fujita invariant of finite covers
Akash Kumar Sengupta
We prove a conjecture of Lehmann-Tanimoto about the behaviour of the Fujita invariant (or -constant appearing in Manin's conjecture) under pull-back to generically finite covers…
Manin's b-constant in families
Akash Kumar Sengupta
We show that the -constant (appearing in Manin's conjecture) is constant on very general fibers of a family of algebraic varieties. If the fibers of the family are uniruled, the…
Counterexamples to Mercat's Conjecture
Akash Kumar Sengupta
For any n>3, we provide examples of curves lying on K3 surfaces and vector bundles on those curves which invalidate Mercat's conjecture for rank n bundles.