Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Rollenske, Sönke"'
We introduce the notion of generalised Gorenstein spin structure on a curve and we give an explicit description of the associated section ring for curves of genus two with ample canonical bundle, obtaining five different formats.
Externí odkaz:
http://arxiv.org/abs/2312.09671
Autor:
Rollenske, Sönke, Torres, Diana
We complement recent work of Gallardo, Pearlstein, Schaffler, and Zhang, showing that the stable surfaces with $K_X^2 =1$ and $\chi(\mathcal O_X) = 3$ they construct are indeed the only ones arising from imposing an exceptional unimodal double point.
Externí odkaz:
http://arxiv.org/abs/2305.01316
Autor:
Rana, Julie, Rollenske, Sönke
We consider the stable compactification $\bar {\mathfrak H}$ of the moduli space of Horikawa surfaces with $K_X^2 = 2p_g(X) -4$. When $K_X^2 =8\ell$ we show that the closures of the two components $\mathfrak H^{\mathrm I}$ and $\mathfrak H^{\mathrm {
Externí odkaz:
http://arxiv.org/abs/2211.12059
Work of Green, Griffiths, Laza, and Robles suggests that the moduli space of (smoothable) stable surfaces should admit a natural stratification defined via Hodge theoretic data. In the case of stable surfaces with $K_X^2 = 1$ and $\chi(X) = 3$ we com
Externí odkaz:
http://arxiv.org/abs/2209.07150
We observe that general reducible curves in sufficiently positive linear systems on K3 surfaces are of a form that generalises Kodaira's classification of singular elliptic fibres and thus call them extended ADE curves. On such a curve $C$, we descri
Externí odkaz:
http://arxiv.org/abs/2206.11686
Publikováno v:
Documenta Mathematica 27 (2022) 2301 - 2332
We study special triple covers $f\colon T \to S$ of algebraic surfaces, where the Tschirnhausen bundle $\mathcal E = \left(f_*\mathcal O_T/\mathcal O_S\right)^\vee$ is a quotient of a split rank three vector bundle, and we provide several necessary a
Externí odkaz:
http://arxiv.org/abs/2202.12523
The moduli space of stable surfaces with $K_X^2 = 1$ and $\chi(X) = 3$ has at least two irreducible components that contain surfaces with T-singularities. We show that the two known components intersect transversally in a divisor. Moreover, we exhibi
Externí odkaz:
http://arxiv.org/abs/2111.12425
Autor:
Do, Anh Thi, Rollenske, Sönke
We classify - as far as possible - Gorenstein stable surfaces with $K_X^2 = 1$ and $\chi(\mathcal O_X) = 2$, describing several strata in the moduli space quite in detail.
Comment: 45 pages, 12 figures
Comment: 45 pages, 12 figures
Externí odkaz:
http://arxiv.org/abs/2109.11966
Autor:
Rollenske, Sönke
We construct examples of non-smoothable stable surfaces, that we call Corona surfaces, with invariants in a wide range comprising all possible invariants of smooth minimal surfaces of general type but non-standard second plurigenus. We deduce that th
Externí odkaz:
http://arxiv.org/abs/2103.16893
We classify normal stable surfaces with $K_X^2 = 1$, $p_g = 2$ and $q=0$ with a unique singular point which is a non-canonical T-singularity, thus exhibiting two divisors in the main component and a new irreducible component of the moduli space of st
Externí odkaz:
http://arxiv.org/abs/2012.05838