The desingularization of the theta divisor of a cubic threefold as a moduli space

Autor: Bayer, Arend, Beentjes, Sjoerd, Feyzbakhsh, Soheyla, Hein, Georg, Martinelli, Diletta, Rezaee, Fatemeh, Schmidt, Benjamin

Publikováno v: Geom. Topol. 28 (2024) 127-160

We show that the moduli space $\overline{M}_X(v)$ of Gieseker stable sheaves on a smooth cubic threefold $X$ with Chern character $v = (3,-H,-H^2/2,H^3/6)$ is smooth and of dimension four. Moreover, the Abel-Jacobi map to the intermediate Jacobian of

Externí odkaz: http://arxiv.org/abs/2011.12240

Crepant resolution conjecture for Donaldson-Thomas invariants via wall-crossing

Autor: Beentjes, Sjoerd Viktor

Let Y be a smooth complex projective Calabi{Yau threefold. Donaldson-Thomas invariants [Tho00] are integer invariants that virtually enumerate curves on Y. They are organised in a generating series DT(Y) that is interesting from a variety of perspect

Externí odkaz: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.764095

A proof of the Donaldson-Thomas crepant resolution conjecture

Autor: Beentjes, Sjoerd Viktor, Calabrese, John, Rennemo, Jørgen Vold

We prove the crepant resolution conjecture for Donaldson-Thomas invariants of hard Lefschetz CY3 orbifolds, formulated by Bryan-Cadman-Young, interpreting the statement as an equality of rational functions. In order to do so, we show that the generat

Externí odkaz: http://arxiv.org/abs/1810.06581

A proof of the Donaldson–Thomas crepant resolution conjecture.

Autor: Beentjes, Sjoerd Viktor¹ (AUTHOR) sjoerd.beentjes@ed.ac.uk, Calabrese, John² (AUTHOR), Rennemo, Jørgen Vold³ (AUTHOR)

Publikováno v: Inventiones Mathematicae. Aug2022, Vol. 229 Issue 2, p451-562. 112p.

Pervasive lesion segregation shapes cancer genome evolution

Autor: Aitken, Sarah J., Anderson, Craig J., Connor, Frances, Pich, Oriol, Sundaram, Vasavi, Feig, Christine, Rayner, Tim F., Lukk, Margus, Aitken, Stuart, Luft, Juliet, Kentepozidou, Elissavet, Arnedo-Pac, Claudia, Beentjes, Sjoerd V., Davies, Susan E., Drews, Ruben M., Ewing, Ailith, Kaiser, Vera B., Khamseh, Ava, López-Arribillaga, Erika, Redmond, Aisling M., Santoyo-Lopez, Javier, Sentís, Inés, Talmane, Lana, Yates, Andrew D., Flicek, Paul, López-Bigas, Núria, Odom, Duncan T., Semple, Colin A., Taylor, Martin S.

Publikováno v: Aitken, S J, Anderson, C J, Connor, F, Pich, O, Sundaram, V, Feig, C, Rayner, T F, Lukk, M, Aitken, S, Luft, J, Kentepozidou, E, Arnedo-Pac, C, Beentjes, S V, Davies, S E, Drews, R M, Ewing, A, Kaiser, V B, Khamseh, A, Lopez-Arribillaga, E, Redmond, A M, Santoyo-Lopez, J, Sentís, I, Talmane, L, Yates, A D, Semple, C A, López-Bigas, N, Flicek, P, Odom, D T & Taylor, M S 2020, ' Pervasive lesion segregation shapes cancer genome evolution ', Nature, vol. 583, pp. 265–270 . https://doi.org/10.1038/s41586-020-2435-1
Nature

SummaryCancers arise through the acquisition of oncogenic mutations and grow through clonal expansion1, 2. Here we reveal that most mutagenic DNA lesions are not resolved as mutations within a single cell-cycle. Instead, DNA lesions segregate unrepai

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7331e668e2f48dd574bf59618d14c6a