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pro vyhledávání: '"Sreekantan, Ramesh"'
Autor:
Sreekantan, Ramesh
We construct motivic cohomology cycles in the group $H^3_{\mathcal M}(Z,{\mathbb Q}(2))$ where $Z$ is a K3 surface obtained as a double cover of a del Pezzo surface $X$ branched at a curve in $|-2K_X|$. The construction uses (-1) curves on the del Pe
Externí odkaz:
http://arxiv.org/abs/2411.03704
Autor:
Sreekantan, Ramesh
In this paper we construct new indecomposable motivic cycles in the group $H^3_{\mathcal M}(X,{\mathds Q}(2))$ where X is a degree 2 K3 surface. This generalizes our construction in [Sre22] for Kummer surfaces of Abelian surfaces as well as the recen
Externí odkaz:
http://arxiv.org/abs/2401.01052
Autor:
Pathak, Tanay, Sreekantan, Ramesh
Publikováno v:
The European Physical Journal Special Topics(2023)
In this paper, we study the singularities of Feynman integrals using homological techniques. We analyse the Feynman integrals by compactifying the integration domain as well as the ambient space by embedding them in higher-dimensional space. In this
Externí odkaz:
http://arxiv.org/abs/2305.08644
Autor:
Sreekantan, Ramesh
Collino \cite{colo} discovered indecomposable motivic cycles in the group $H^{2g-1}_{\mathcal M}(J(C),{\mathds Z}(g))$. In an earlier paper we described the construction of some new motivic cycles which can be viewed as a generalization of Collino's
Externí odkaz:
http://arxiv.org/abs/2304.09819
Autor:
Sarkar, Subham, Sreekantan, Ramesh
Publikováno v:
Proceedings - Mathematical Sciences volume 130, Article number: 18 (2020)
In this paper we construct extensions of mixed Hodge structures coming from the mixed Hodge structure on the graded quotients of the group ring of the fundamental group of a smooth, projective, pointed curve. These extensions correspond to the regula
Externí odkaz:
http://arxiv.org/abs/2211.00444
Autor:
Sreekantan, Ramesh
We construct indecomposable cycles in the motivic cohomology group $H^3_{{\mathcal M}}(A,{\mathbb Q}(2))$ where $A$ is an Abelian surface over a number field or the function field of a base. When $A$ is the self product of the universal elliptic curv
Externí odkaz:
http://arxiv.org/abs/2208.08325
Autor:
Sreekantan, Ramesh
If $X$ is a smooth projective variety over ${\mathbb R}$, the Hodge ${\mathcal D}$-conjecture of Beilinson asserts the surjectivity of the regulator map to Deligne cohomology with real coefficients. It is known to be false in general but is true in s
Externí odkaz:
http://arxiv.org/abs/2208.08318
Autor:
Pathak, Tanay, Sreekantan, Ramesh
Publikováno v:
European Physical Journal: Special Topics; Oct2024, Vol. 233 Issue 11/12, p2037-2055, 19p
Autor:
SREEKANTAN, RAMESH
Publikováno v:
Rendiconti del Seminario Matematico della Universita di Padova; 2024, Vol. 152, p145-165, 21p
Autor:
Sarkar, Subham, Sreekantan, Ramesh
In this paper we construct extensions of the Mixed Hodge structure on the fundamental group of a pointed algebraic curve. These extensions correspond to the regulator of certain explicit motivic cohomology cycles in the self product of the curve whic
Externí odkaz:
http://arxiv.org/abs/1406.0810