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pro vyhledávání: '"D'andrea T"'
We define a derived enhancement of the hyperquot scheme (also known as nested Quot scheme), which classically parametrises flags of quotients of a perfect coherent sheaf on a projective scheme. We prove it is representable by a derived scheme, and we
Externí odkaz:
http://arxiv.org/abs/2409.16858
We prove a closed formula for the generating function $\mathsf Z_d(t)$ of the motives $[\mathrm{Hilb}^d(\mathbb A^n)_0] \in K_0(\mathrm{Var}_{\mathbb C})$ of punctual Hilbert schemes, summing over $n$, for fixed $d>0$. The result is an expression for
Externí odkaz:
http://arxiv.org/abs/2406.14321
Autor:
Monavari, Sergej, Ricolfi, Andrea T.
Let $C$ be a smooth projective curve, $E$ a locally free sheaf. Hyperquot schemes on $C$ parametrise flags of coherent quotients of $E$ with fixed Hilbert polynomial, and offer alternative compactifications to the spaces of maps from $C$ to partial f
Externí odkaz:
http://arxiv.org/abs/2404.17942
Autor:
Fantechi, Barbara, Ricolfi, Andrea T.
Let $X$ be a variety. We study (decompositions of) the motivic class, in the Grothendieck ring of stacks, of the stack $\mathscr{C}oh^n(X)$ of $0$-dimensional coherent sheaves of length $n$ on $X$. To do so, we review the construction of the support
Externí odkaz:
http://arxiv.org/abs/2403.07859
Autor:
Fantechi, Barbara, Ricolfi, Andrea T.
Let $X$ be a quasiprojective scheme. In this expository note we collect a series of useful structural results on the stack $\mathscr{C}oh^n(X)$ parametrising $0$-dimensional coherent sheaves of length $n$ over $X$. For instance, we discuss its functo
Externí odkaz:
http://arxiv.org/abs/2403.03878
Let $C$ be a smooth curve. In this paper we investigate the geometric properties of the double nested Hilbert scheme of points on $C$, a moduli space introduced by the third author in the context of BPS invariants of local curves and sheaf counting o
Externí odkaz:
http://arxiv.org/abs/2310.09230
Autor:
Emmanuel Irimaso, Helga Keinprecht, Michael P. Szostak, Adriana Cabal Rosel, Beatrix Stessl, Amelie Desvars-Larrive, Christophe Ntakirutimana, Otto W. Fischer, Thomas Wittek, Elke Müller, Andrea T. Feßler, Sascha D. Braun, Stefan Schwarz, Stefan Monecke, Ralf Ehricht, Joachim Spergser, Werner Ruppitsch, Igor Loncaric
Publikováno v:
BMC Veterinary Research, Vol 20, Iss 1, Pp 1-9 (2024)
Abstract Background Antimicrobial resistance (AMR) in Enterobacterales constitutes a significant threat to the health of both humans and animals and a socioeconomic problem. Enterobacterales, mainly Escherichia coli, carrying β-lactamases has become
Externí odkaz:
https://doaj.org/article/b919f0d9f74744a58942b6ea8ff359c7
Autor:
Ricolfi, Andrea T.
We provide a proof of the following fact: if a complex scheme $Y$ has Behrend function constantly equal to a sign $\sigma \in \{\pm 1\}$, then all of its components $Z \subset Y$ are generically reduced and satisfy $(-1)^{\mathrm{dim}_{\mathbb C} T_p
Externí odkaz:
http://arxiv.org/abs/2306.08457
Autor:
Shachar, Ayelet
Publikováno v:
The Philosophical Quarterly (1950-), 2002 Jan 01. 52(206), 131-134.
Externí odkaz:
https://www.jstor.org/stable/3543020