Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Dhruv Ranganathan"'
Autor:
Davesh Maulik, Dhruv Ranganathan
Publikováno v:
Forum of Mathematics, Pi, Vol 12 (2024)
Let X be a smooth and projective threefold with a simple normal crossings divisor D. We construct the Donaldson–Thomas theory of the pair $(X|D)$ enumerating ideal sheaves on X relative to D. These moduli spaces are compactified by studying subs
Externí odkaz:
https://doaj.org/article/3a110f8a68cf494d9ee98d7bb89e0cdc
Autor:
David Jensen, Dhruv Ranganathan
Publikováno v:
Forum of Mathematics, Pi, Vol 9 (2021)
We prove a generalisation of the Brill-Noether theorem for the variety of special divisors $W^r_d(C)$ on a general curve C of prescribed gonality. Our main theorem gives a closed formula for the dimension of $W^r_d(C)$ . We build on prev
Externí odkaz:
https://doaj.org/article/e55ab954d5974e989a6286a9c5bc8a03
Publikováno v:
Forum of Mathematics, Sigma, Vol 4 (2016)
We study moduli spaces of rational weighted stable tropical curves, and their connections with Hassett spaces. Given a vector $w$ of weights, the moduli space of tropical $w$ -stable curves can be given the structure of a balanced fan if and only i
Externí odkaz:
https://doaj.org/article/305b2109b4c840228734f12a41cd518f
Autor:
Dhruv Ranganathan
Publikováno v:
Algebraic Geometry. :714-761
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28d3607639de461cff6100fb768d0440
https://doi.org/10.14231/ag-2022-022
https://doi.org/10.14231/ag-2022-022
Publikováno v:
Algebraic Geometry. :637-679
We construct and study the reduced, relative, genus one Gromov--Witten theory of very ample pairs. These invariants form the principal component contribution to relative Gromov--Witten theory in genus one and are relative versions of Zinger's reduced
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4b8fc4c70027d2ef21bfb275b76e526
https://doi.org/10.14231/ag-2021-020
https://doi.org/10.14231/ag-2021-020
Autor:
SAMOUIL MOLCHO, Dhruv Ranganathan
Publikováno v:
Web of Science
We explain how logarithmic structures select natural principal components in an intersection of schemes. These manifest in Chow homology and can be understood using the geometry of strict transforms under logarithmic blowups. Our motivation comes fro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a126171ba21427c9d1672189b8c8b30
http://arxiv.org/abs/2106.15194
http://arxiv.org/abs/2106.15194
This book is based on the lectures given at the Oberwolfach Seminar held in Fall 2021. Logarithmic Gromov-Witten theory lies at the heart of modern approaches to mirror symmetry, but also opens up a number of new directions in enumerative geometry of
Publikováno v:
Journal of Combinatorial Theory, Series A. 159:26-53
We examine the incidence geometry of lines in the tropical plane. We prove tropical analogs of the Sylvester-Gallai and Motzkin-Rabin theorems in classical incidence geometry. This study leads naturally to a discussion of the realizability of inciden
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6feb2b1228a1bb91046dae1b4338fbb7
https://doi.org/10.1016/j.jcta.2018.05.002
https://doi.org/10.1016/j.jcta.2018.05.002
Publikováno v:
Mathematische Zeitschrift
Illusie has suggested that one should think of the classifying group of $M_X^{gp}$-torsors on a logarithmically smooth curve $X$ over a standard logarithmic point as a logarithmic analogue of the Picard group of $X$. This logarithmic Picard group ari
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ce1c2582ab13590ee94029896bd9743a
https://doi.org/10.1007/s00209-018-2085-2
https://doi.org/10.1007/s00209-018-2085-2
Publikováno v:
Algebraic Geometry: Salt Lake City 2015. :139-167
We explore the explicit relationship between the descendant Gromov--Witten theory of target curves, operators on Fock spaces, and tropical curve counting. We prove a classical/tropical correspondence theorem for descendant invariants and give an algo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7456d8eb1ef3f1367547ee974a2516f2
https://doi.org/10.1090/pspum/097.2/05
https://doi.org/10.1090/pspum/097.2/05