3 papers
math.AG2026
Refined enumerative invariants and mixed Welschinger invariants
Eugenii Shustin, Uriel Sinichkin
For real toric surfaces and conjugation invariant point conditions with all conjugate pairs on the boundary divisors, we prove that the signed count of real curves of arbitrary gen…
math.AG2023
Fundamental groups of highly symmetrical curves and Fermat line arrangments
Meirav Amram, Praveen Kumar Roy, Uriel Sinichkin
We showcase a computation of the fundamental group of when is a curve admitting a lot of symmetries. In particular, let de…
math.AG2020
Enumeration of algebraic and tropical singular hypersurfaces
Uriel Sinichkin
We develop a version of Mikhalkin's lattice path algorithm for projective hypersurfaces of arbitrary degree and dimension, which enumerates singular tropical hypersurfaces passing…