Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Martin Ulirsch"'
Publikováno v:
Épijournal de Géométrie Algébrique, Vol Volume 6 (2022)
In this article we provide a stack-theoretic framework to study the universal tropical Jacobian over the moduli space of tropical curves. We develop two approaches to the process of tropicalization of the universal compactified Jacobian over the modu
Externí odkaz:
https://doaj.org/article/153e65565ed94f71bf23a0503b8a7f9b
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
We contribute to the foundations of tropical geometry with a view toward formulating tropical moduli problems, and with the moduli space of curves as our main example. We propose a moduli functor for the moduli space of curves and show that it is rep
Externí odkaz:
https://doaj.org/article/d3470edbcedb4e58b356388565f33e58
Publikováno v:
Advances in Mathematics. 411:108775
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6e1cfaea48976ea8c6c9e3db72c44c18
https://doi.org/10.1016/j.aim.2022.108775
https://doi.org/10.1016/j.aim.2022.108775
Autor:
Martin Ulirsch
Publikováno v:
Selecta Mathematica. 27
In this article we use techniques from tropical and logarithmic geometry to construct a non-Archimedean analogue ofTeichmüller space$$\overline{{{\mathcal {T}}}}_g$$T¯gwhose points are pairs consisting of a stable projective curve over a non-Archim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8608c3b5ff3cd930f3fd04fe7ec6b9fd
https://doi.org/10.1007/s00029-021-00651-4
https://doi.org/10.1007/s00029-021-00651-4
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
Autor:
Martin Ulirsch
Publikováno v:
Proceedings of the London Mathematical Society. 114:1081-1113
The purpose of this article is to develop foundational techniques from logarithmic geometry in order to define a functorial tropicalization map for fine and saturated logarithmic schemes in the case of constant coefficients. Our approach crucially us
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2cc140251bf7a2a3db08ccc5370d9da8
https://doi.org/10.1112/plms.12031
https://doi.org/10.1112/plms.12031
Autor:
Martin Ulirsch
Publikováno v:
Mathematical Research Letters. 24:1205-1237
For a complex toric variety $X$ the logarithmic absolute value induces a natural retraction of $X$ onto the set of its non-negative points and this retraction can be identified with a quotient of $X(\mathbb{C})$ by its big real torus. We prove an ana
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::48e3f16fc019522fda138faac49a840c
https://doi.org/10.4310/mrl.2017.v24.n4.a12
https://doi.org/10.4310/mrl.2017.v24.n4.a12
Autor:
Martin Ulirsch, Madeline Brandt
We define a divisorial motivic zeta function for stable curves with marked points which agrees with Kapranov's motivic zeta function when the curve is smooth and unmarked. We show that this zeta function is rational, and give a formula in terms of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ad7beec33fbcaafd9ca42d754ea1a75
http://arxiv.org/abs/1907.05125
http://arxiv.org/abs/1907.05125
Autor:
Yoav Len, Martin Ulirsch
We show that the non-Archimedean skeleton of the Prym variety associated to an unramified double cover of an algebraic curve is naturally isomorphic (as a principally polarized tropical abelian variety) to the tropical Prym variety of the associated
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45407cfaee4e0aabe8f0173911cf498a
Autor:
Martin Ulirsch
Publikováno v:
Journal of the London Mathematical Society. 92:427-450
Hassett's moduli spaces of weighted stable curves form an important class of alternate modular compactifications of the moduli space of smooth curves with marked points. In this article we define a tropical analogue of these moduli spaces and show th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::63186ad266496af3c16f6d2db6bddd0c
https://doi.org/10.1112/jlms/jdv032
https://doi.org/10.1112/jlms/jdv032