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pro vyhledávání: '"Garcia, Daniel López"'
There is a well-known fact in Poisson geometry that reduction commutes with integration (of the associated integrable Lie algebroid). This is also valid for other types of geometries given by 2-dimensional closed forms. In this manuscript we extend t
Externí odkaz:
http://arxiv.org/abs/2403.03178
We study M-Theory solutions with $G$-flux on the Fermat sextic Calabi-Yau fourfold, focussing on the relationship between the number of stabilized complex structure moduli and the tadpole contribution of the flux. We use two alternative approaches to
Externí odkaz:
http://arxiv.org/abs/2401.00470
We solve the problem of determining under which conditions the monodromy of a vanishing cycle generates the whole homology of a regular fiber for a polynomial $f(x,y)=g(x)+h(y)$ where $h$ and $g$ are polynomials with real coefficients having real cri
Externí odkaz:
http://arxiv.org/abs/2311.05563
Monodromy problem and Tangential center-focus problem for product of generic lines in $\mathbb{P}^2$
Autor:
Garcia, Daniel López
We consider the rational map $F$ defined by the quotient of products of lines in general position and we study the monodromy problem and tangential center-focus problem for the fibration associated with $F$. Thus, we study the submodule of the 1-homo
Externí odkaz:
http://arxiv.org/abs/2205.03496
Autor:
Garcia, Daniel López
We study the Dynkin diagram associated to the monodromy of direct sums of polynomials. The monodromy problem asks under which conditions on a polynomial, the monodromy of a vanishing cycle generates the whole homology of a regular fiber. We consider
Externí odkaz:
http://arxiv.org/abs/2010.03086
Autor:
Garcia, Daniel López
Publikováno v:
Canadian Mathematical Bulletin, 11 September 2020, pp. 1 - 16
In this note we study homological cycles in the mirror quintic Calabi-Yau threefold which can be realized by special Lagrangian submanifolds. We have used Picard-Lefschetz theory to establish the monodromy action and to study the orbit of Lagrangian
Externí odkaz:
http://arxiv.org/abs/2005.07736
Autor:
del Hoyo, Matias, Garcia, Daniel López
Publikováno v:
Monatshefte f\"ur Mathematik, 194(4), 811-833 (2021)
We present Hausdorff versions for Lie Integration Theorems 1 and 2 and apply them to study Hausdorff symplectic groupoids arising from Poisson manifolds. To prepare for these results we include a discussion on Lie equivalences and propose an algebrai
Externí odkaz:
http://arxiv.org/abs/2003.14364
Autor:
Olalla, Águeda Sonseca, Talavera, Víctor Hevilla, García, Daniel López, Torres, Enrique Giménez, García, Marta Fernández
Publikováno v:
In European Polymer Journal 5 May 2022 170
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