Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Paul, Anantadulal"'
We give a conjectural formula for the characteristic number of rational cuspidal curves in the projective plane by extending the idea of Kontsevich's recursion formula (namely, pulling back the equality of two divisors in the four pointed moduli spac
Externí odkaz:
http://arxiv.org/abs/2409.10238
A moduli space of stable maps to the fibers of a fiber bundle is constructed. The new moduli space is a family version of the classical moduli space of stable maps to a non-singular complex projective variety. The virtual cycle for this moduli space
Externí odkaz:
http://arxiv.org/abs/2408.06616
This paper establishes an interesting connection between the family of CMC surfaces of revolution in $\mathbb E_1^3$ and some specific families of elliptic curves. As a consequence of this connection, we show in the class of spacelike CMC surfaces of
Externí odkaz:
http://arxiv.org/abs/2405.19742
Interpreting tangency as a limit of two transverse intersections, we obtain a concrete formula to enumerate smooth degree d plane curves tangent to a given line at multiple points with arbitrary order of tangency. One nodal curves with multiple tange
Externí odkaz:
http://arxiv.org/abs/2312.10759
Autor:
Biswas, Indranil, Chaudhuri, Chitrabhanu, Choudhury, Apratim, Mukherjee, Ritwik, Paul, Anantadulal
Publikováno v:
Advances in Mathematics, 2023
We obtain a recursive formula for the number of rational degree $d$ curves in $\mathbb{CP}^2$ that pass through $3d+1-m$ generic points and that have an $m$-fold singular point. The special case of counting curves with a triple point was solved earli
Externí odkaz:
http://arxiv.org/abs/2212.01664
Autor:
Paul, Anantadulal
Publikováno v:
In Bulletin des sciences mathématiques May 2024 192
Autor:
Biswas, Indranil, Chaudhuri, Chitrabhanu, Choudhury, Apratim, Mukherjee, Ritwik, Paul, Anantadulal
Publikováno v:
In Advances in Mathematics 15 October 2023 431
Autor:
Paul, Anantadulal
We obtain a recursive formula for the characteristic number of degree $d$ curves in $\mathbb{P}^2$ with prescribed singularities (of type $A_k$) that are tangent to a given line. The formula is in terms of the characteristic number of curves with exa
Externí odkaz:
http://arxiv.org/abs/1909.03201
We obtain a recursive formula for the number of rational degree $d$ curves in $\mathbb{P}^3$, whose image lies in a $\mathbb{P}^2$, passing through $r$ lines and $s$ points, where $r + 2s = 3d+2$. This can be viewed as a family version of the classic
Externí odkaz:
http://arxiv.org/abs/1808.04237
Publikováno v:
In Bulletin des sciences mathématiques February 2019 150:1-11