Results 31 to 40 of about 793 (81)

On motivic decompositions arising from the method of Bialynicki-Birula

, 2004
Recently, V. Chernousov, S. Gille and A. Merkurjev have obtained a decomposition of the motive of an isotropic smooth projective homogeneous variety analogous to the Bruhat decomposition.
Baño, Białynicki-Birula, Borel, Brosnan, Carrell, Iversen, Jannsen, Karpenko, Köck, Manin, Shipman   +10 more
core   +1 more source

AI‐Driven Defect Engineering for Advanced Thermoelectric Materials

Advanced Materials, Volume 37, Issue 35, September 4, 2025.
This review presents how AI accelerates the design of defect‐tuned thermoelectric materials. By integrating machine learning with high‐throughput data and physics‐informed representations, it enables efficient prediction of thermoelectric performance from complex defect landscapes.
Chu‐Liang Fu, Mouyang Cheng, Nguyen Tuan Hung, Eunbi Rha, Zhantao Chen, Ryotaro Okabe, Denisse Córdova Carrizales, Manasi Mandal, Yongqiang Cheng, Mingda Li   +9 more
wiley   +1 more source

On the Chow groups of some hyperk\"ahler fourfolds with a non-symplectic involution

, 2017
This note concerns hyperk\"ahler fourfolds $X$ having a non-symplectic involution $\iota$. The Bloch-Beilinson conjectures predict the way $\iota$ should act on certain pieces of the Chow groups of $X$.
Laterveer, Robert
core   +1 more source

Applications of Artificial Intelligence in Biotech Drug Discovery and Product Development

MedComm, Volume 6, Issue 8, August 2025.
Artificial intelligence is reshaping drug discovery by enhancing molecular design, target engagement, and therapeutic delivery with unprecedented precision and efficiency. This review summarizes recent advances in AI‐driven approaches across small molecule design, protein binder development, antibody engineering, and nanoparticle‐based delivery systems,
Yuan‐Tao Liu, Le‐Le Zhang, Zi‐Ying Jiang, Xian‐Shu Tian, Peng‐Lin Li, Pei‐Huang Wu, Wen‐Ting Du, Bo‐Yu Yuan, Chu Xie, Guo‐Long Bu, Lan‐Yi Zhong, Yan‐Lin Yang, Ting Li, Mu‐Sheng Zeng, Cong Sun   +14 more
wiley   +1 more source

Advancing Design Strategy of PROTACs for Cancer Therapy

MedComm, Volume 6, Issue 7, July 2025.
A comprehensive update on the PROTAC design, and highlighting the role of artificial intelligence in the PROTAC design for cancer therapy. ABSTRACT Proteolysis targeting chimeras (PROTACs) have emerged as a groundbreaking class of anticancer therapeutics.
Hang Luo, Yuan Tian, Razack Abdullah, Baoting Zhang, Yuan Ma, Ge Zhang   +5 more
wiley   +1 more source

Algebraic cycles on a very special EPW sextic

, 2017
Motivated by the Beauville-Voisin conjecture about Chow rings of powers of $K3$ surfaces, we consider a similar conjecture for Chow rings of powers of EPW sextics. We prove part of this conjecture for the very special EPW sextic studied by Donten-Bury et
Laterveer, Robert
core   +1 more source

The birational geometry of GIT quotients

Bulletin of the London Mathematical Society, Volume 57, Issue 7, Page 1952-1967, July 2025.
Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley   +1 more source

On stratified Mukai flops [PDF]

, 2006
We construct a resolution of stratified Mukai flops of type A, D, E_{6, I} by successively blowing up smooth subvarieties. In the case of E_{6, I}, we construct a natural functor which induces an isomorphism between the Chow groups.Comment: use diagrams ...
Chaput, Pierre-Emmanuel, Fu, Baohua
core   +3 more sources

On the stack of 0‐dimensional coherent sheaves: Motivic aspects

Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1607-1649, June 2025.
Abstract Let X$X$ be a variety. In this survey, we study (decompositions of) the motivic class, in the Grothendieck ring of stacks, of the stack Cohn(X)$\mathcal {C}\hspace{-2.5pt}{o}\hspace{-1.99997pt}{h}^n(X)$ of 0‐dimensional coherent sheaves of length n$n$ on X$X$. To do so, we review the construction of the support map Cohn(X)→Symn(X)$\mathcal {C}\
Barbara Fantechi, Andrea T. Ricolfi
wiley   +1 more source

Parabolic subgroups in characteristics 2 and 3

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract This text brings to an end the classification of non‐reduced parabolic subgroups in positive characteristic, especially 2 and 3: they are all obtained as intersections of parabolics having maximal reduced part. We prove this result and deduce a few geometric consequences on rational projective homogeneous varieties.
Matilde Maccan
wiley   +1 more source