Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Unver, Sinan"'
Segmenting multiple objects (e.g., organs) in medical images often requires an understanding of their topology, which simultaneously quantifies the shape of the objects and their positions relative to each other. This understanding is important for s
Externí odkaz:
http://arxiv.org/abs/2408.08038
Segmentation networks are not explicitly imposed to learn global invariants of an image, such as the shape of an object and the geometry between multiple objects, when they are trained with a standard loss function. On the other hand, incorporating s
Externí odkaz:
http://arxiv.org/abs/2307.03137
Autor:
Unver, Sinan
Publikováno v:
Alg. Number Th. 18 (2024) 685-734
Let $C$ be a smooth and projective curve over the truncated polynomial ring $k_m:=k[t]/(t^m), $ where $k$ is a field of characteristic 0. Using a candidate for the motivic cohomology group ${\rm H}^{3}_{\pazocal{M}}(C,\mathbb{Q}(3))$ based on the Blo
Externí odkaz:
http://arxiv.org/abs/2002.00602
Autor:
Unver, Sinan
In this paper, we continue our project of defining and studying the infinitesimal versions of the classical, real analytic, invariants of motives. Here, we construct an infinitesimal analog of Bloch's regulator. Let $X/k$ be a scheme of finite type o
Externí odkaz:
http://arxiv.org/abs/1904.06694
Autor:
Unver, Sinan
Borel's construction of the regulator gives an injective map from the algebraic $K$-groups of a number field to its Deligne-Beilinson cohomology groups. This has many interesting arithmetic and geometric consequences. The formula for the regulator is
Externí odkaz:
http://arxiv.org/abs/1904.05409
Autor:
Unver, Sinan
Let $C_{2}$ be a smooth and projective curve over the ring of dual numbers of a field $k.$ Given non-zero rational functions $f,g,$ and $h$ on $C_{2},$ we define an invariant $\rho(f\wedge g \wedge h) \in k.$ This is an analog of the real analytic Ch
Externí odkaz:
http://arxiv.org/abs/1712.07341
Autor:
Unver, Sinan
The cyclotomic $p$-adic multi-zeta values are the $p$-adic periods of $\pi_{1}(\mathbb{G}_{m} \setminus \mu_{M},\cdot),$ the unipotent fundamental group of the multiplicative group minus the $M$-th roots of unity. In this paper, we compute the cyclot
Externí odkaz:
http://arxiv.org/abs/1701.05729
Autor:
Unver, Sinan
We prove that the algebra of p-adic multi-zeta values are contained in another algebra which is defined explicitly in terms of series.
Externí odkaz:
http://arxiv.org/abs/1410.8648
Autor:
Unver, Sinan
In this paper we compute the values of the p-adic multiple polylogarithms of depth two at roots of unity. Our method is to solve the fundamental differential equation satisfied by the crystalline frobenius morphism using rigid analytic methods. The m
Externí odkaz:
http://arxiv.org/abs/1302.6406
Autor:
Unver, Sinan
We give a proof that the p-adic multi-zeta values satisfy the Drinfel'd-Ihara relations.
Externí odkaz:
http://arxiv.org/abs/math/0310386