Zobrazeno 1 - 10
of 80
pro vyhledávání: '"Mondal, Pinaki"'
Autor:
Zutshi, Neha, Mohapatra, Bhopal C., Mondal, Pinaki, An, Wei, Goetz, Benjamin T., Wang, Shuo, Li, Sicong, Storck, Matthew D., Mercer, David F., Black, Adrian R., Thayer, Sarah P., Black, Jennifer D., Lin, Chi, Band, Vimla, Band, Hamid
Publikováno v:
In iScience 21 June 2024 27(6)
Autor:
Mondal, Pinaki
Publikováno v:
CMS/CAIMS Books in Mathematics, Volume 2, 2021
In this book we describe an approach through toric geometry to the following problem: "estimate the number (counted with appropriate multiplicity) of isolated solutions of n polynomial equations in n variables over an algebraically closed field k." T
Externí odkaz:
http://arxiv.org/abs/1806.05346
Autor:
Mondal, Pinaki
We classify all normal G^2_a-surfaces with Picard number one, and characterize which of these surfaces have at worst log canonical, and which have at worst log terminal singularities, answering a question of Hassett and Tschinkel (Int. Math. Res. Not
Externí odkaz:
http://arxiv.org/abs/1610.03563
Autor:
Mondal, Pinaki
We explicitly characterize when the Milnor number at the origin of a polynomial or power series (over an algebraically closed field k of arbitrary characteristic) is the minimum of all polynomials with the same Newton diagram, which completes works o
Externí odkaz:
http://arxiv.org/abs/1607.04860
Autor:
Mondal, Pinaki
We study projective completions of affine algebraic varieties (defined over an algebraically closed field K) which are given by filtrations, or equivalently, integer valued `degree like functions' on their rings of regular functions. For a polynomial
Externí odkaz:
http://hdl.handle.net/1807/24371
Autor:
Mondal, Pinaki
Publikováno v:
Algebra Number Theory 10 (2016) 1641-1682
We present an effective criterion to determine if a normal analytic compactification of C^2 with one irreducible curve at infinity is algebraic or not. As a by product we establish a correspondence between normal algebraic compactifications of C^2 wi
Externí odkaz:
http://arxiv.org/abs/1510.00998
Autor:
Mondal, Pinaki
We study a class of rational surfaces (considered in [Campillo, Piltant and Reguera, 2005]) associated to curves with one place at infinity and explicitly describe generators of the Cox ring and global sections of line bundles on these surfaces. In p
Externí odkaz:
http://arxiv.org/abs/1312.2168
Autor:
Mondal, Pinaki
This is a survey of some results on the structure and classification of normal analytic compactifications of C^2. Mirroring the existing literature, we especially emphasize the compactifications for which the curve at infinity is irreducible.
Co
Co
Externí odkaz:
http://arxiv.org/abs/1308.3286
Autor:
Mondal, Pinaki
We classify 'primitive normal compactifications' of C^2 (i.e. normal analytic surfaces containing C^2 for which the curve at infinity is irreducible), compute the moduli space of these surfaces and their groups of auomorphisms. In particular we show
Externí odkaz:
http://arxiv.org/abs/1307.5577
Autor:
Mondal, Pinaki, Netzer, Tim
We study the growth of polynomials on semialgebraic sets. For this purpose we associate a graded algebra to the set, and address all kinds of questions about finite generation. We show that for a certain class of sets, the algebra is finitely generat
Externí odkaz:
http://arxiv.org/abs/1305.1215