1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
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…
The realization space of a certain conic line arrangement of degree 7 and a -equivalent Zariski pair
Meirav Amram, Shinzo Bannai, Taketo Shirane +2
In this paper, we continue the study of the embedded topology of plane algebraic curves. We study the realization space of conic line arrangements of degree with certain fixed…
The fundamental group of Galois covers of surfaces with octahedral envelope
Meirav Amram, Cheng Gong, Praveen Kumar Roy +2
We compute the fundamental group of the Galois cover of a surface of degree~, with singularities of degree , whose degeneration envelope is isomorphic to an octahedron. The g…
Zariski pairs of conic-line arrangements of degrees 7 and 8 via fundamental groups
Meirav Amram, Robert Shwartz, Uriel Sinichkin +2
We find a new Zariski pair with non-isomorphic fundamental groups that consists of degree conic-line arrangements. Each arrangement has three conics and two lines. We use the…
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…