Resolution of singularities of embedded algebraic surfaces/ by 444788 Abhyankar, Shreeram Shankar

Realization of deep subwavelength resolution with singular media by Xu, Su, Jiang, Yuyu, Xu, Hongyi, Wang, Junxia, Lin, Shisheng, Chen, Hongsheng, Zhang, Baile

Get full text
Get full text

The zeta function of sI(2) and resolution of singularities by Du Sautoy, M, Taylor, G

Equivariant resolution of singularities and semi-stable reduction in characteristic 0 by Wang, Jianhua

Get full text

Learning Coefficient of Vandermonde Matrix-Type Singularities in Model Selection by Miki Aoyagi

Subjects: Get full text

Definable Transformation to Normal Crossings over Henselian Fields with Separated Analytic Structure by Krzysztof Jan Nowak

Subjects: Get full text

The Poincaré Index on Singular Varieties by Alexander G. Aleksandrov

“…In contrast with known traditional approaches, we use neither computers, nor integration, perturbations, deformations, resolution of singularities, spectral sequences or other related standard tools of pure mathematics.…”
Get full text

AAA rational approximation on a continuum by Driscoll, T, Nakatsukasa, Y, Trefethen, LN

“…This enables fast computation of high-accuracy rational approximations on domains such as the unit interval, the unit circle, and the imaginary axis, even in some cases where resolution of singularities requires exponentially clustered sample points, support points, and poles. …”

Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations by Jeffrey, L, Kiem, Y, Kirwan, F, Woolf, J

“…Because of the presence of singularities we work with the intersection cohomology groups IH*(M(n,d)) defined by Goresky and MacPherson and the ordinary cohomology groups of a certain partial resolution of singularities M̃(n,d) of M(n,d). Based on our earlier work [25], we give a precise formula for the intersection cohomology pairings and provide a method to calculate pairings on M̃(n,d). …”

When is the étale open topology a field topology? by Dittmann, P, Walsberg, E, Ye, J

“…On the positive side, when K is the fraction field of a local domain R 6= K, using a weak form of resolution of singularities due to Gabber, we show that EK agrees with the R-adic topology when R is quasi-excellent and henselian. …”

A worldsheet approach to 𝒩 = 1 heterotic flux backgrounds by Dan Israël, Yann Proto

“…Such a formulation provides a useful framework in order to address the resolution of singularities of the orbifold geometries. We investigate the constraints imposed by discrete symmetries on the corresponding torsional GLSMs. …”
Get full text

Non-archimedean tame topology and stably dominated types by Hrushovski, E, Loeser, F

“…Berkovich, who used resolution of singularities methods.</p> <p>No previous knowledge of non-archimedean geometry is assumed. …”

Adaptive Frame Fields for Polycube Generation and Quad Simplification by Cheng, Katherine Yi-Lin

“…We show that singularities of octahedral frame fields tend to avoid areas of high resolution, but singularities of odeco frame fields do not. We then use this discovery to help build polycube frame fields by artificially imposing a distorted metric to force singularities towards the boundary. …”
Get full text

Contributions to the model theory of henselian fields by Kartas, K

“…</p> <p>• A general existential Ax-Kochen/Ershov principle for tamely ramified fields in all characteristics, conditional to a certain form of resolution of singularities. This extends well-known existential Ax-Kochen/Ershov principles in residue characteristic 0 and also unramified mixed characteristic. …”

D-orbifolds and d-bordism by Volk, B, Benjamin Volk

“…Finally, we sketch how our results may be used to make a step towards a proof of the Gopakumar–Vafa integrality conjecture and a “resolution of singularities” theorem for d-orbifolds.</p>…”

Poisson traces, D-modules, and symplectic resolutions by Schedler, Travis, Etingof, Pavel I

“…Conjecturally, the D-module is the pushforward of the canonical D-module under every symplectic resolution of singularities, which implies that the space of Poisson traces is dual to the top cohomology of the resolution. …”
Get full text
Get full text

Local Zeta Functions and Koba–Nielsen String Amplitudes by Miriam Bocardo-Gaspar, Hugo García-Compeán, Edgar Y. López, Wilson A. Zúñiga-Galindo

“…A Koba–Nielsen amplitude is just a new type of local zeta function, which can be studied using embedded resolution of singularities. In this way, one shows the existence of a meromorphic continuations for the Koba–Nielsen amplitudes as functions of the kinematic parameters. …”
Get full text

Permutations with Kazhdan-Lusztig polynomial $ P_id,w(q)=1+q^h$ by Alexander Woo

“…Using resolutions of singularities introduced by Cortez and a method for calculating Kazhdan-Lusztig polynomials due to Polo, we prove the conjecture of Billey and Braden characterizing permutations w with Kazhdan-Lusztig polynomial$ P_id,w(q)=1+q^h$ for some $h$.…”
Get full text

Cohomology pairings on singular quotients in geometric invariant theory by Jeffrey, L, Kiem, Y, Kirwan, F, Woolf, J

“…We also give formulas for intersection pairings on resolutions of singularities (or more precisely partial resolutions, since orbifold singularities are allowed) of the quotients.…”

Homotopic approach for turnpike and singularly perturbed optimal control problems by Cots Olivier, Gergaud Joseph, Wembe Boris

“…Then, thanks to this link, we set up a new framework based on continuation methods for the resolution of singularly perturbed optimal control problems. …”
Get full text