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Polyphenol-rich strawberry extract (PRSE) shows in vitro and in vivo biological activity against invasive breast cancer cells. [PDF]
Sci Rep, 2016 Amatori S +12 more
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Shedding Light on Cellular Secrets: A Review of Advanced Optical Biosensing Techniques for Detecting Extracellular Vesicles with a Special Focus on Cancer Diagnosis. [PDF]
ACS Appl Bio MaterKüçük BN +4 more
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On simple normal crossing Fano varieties and logarithmic Fano varieties with large index
On simple normal crossing Fano varieties and logarithmic Fano varieties with large indexopenaire
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Russian Academy of Sciences. Sbornik Mathematics, 1993
The aim of this paper is to justify that there are a finite number of types of singular toroidal varieties satisfying some restrictions concerning their singularities.
Borisov, A. A., Borisov, L. A.
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The aim of this paper is to justify that there are a finite number of types of singular toroidal varieties satisfying some restrictions concerning their singularities.
Borisov, A. A., Borisov, L. A.
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Birationally rigid varieties. I. Fano varieties
Russian Mathematical Surveys, 2007The theory of birational rigidity of rationally connected varieties generalises the classical rationality problem. This paper gives a survey of the current state of this theory and traces its history from Noether's theorem and the Luroth problem to the latest results on the birational superrigidity of higher-dimensional Fano varieties.
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TOROIDAL FANO VARIETIES AND ROOT SYSTEMS
Mathematics of the USSR-Izvestiya, 1985A smooth projective variety is called a Fano variety if its anticanonical sheaf is ample. Theorem 1 states that over an algebraically closed field there exist only finitely many mutually nonisomorphic toroidal Fano varieties. Theorem 4 gives a complete classification of toroidal Fano varieties with a centrally symmetric fan.
Voskresenskij, V. E., Klyachko, A. A.
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Birationally rigid Fano varieties
Russian Mathematical Surveys, 2005The birational superrigidity and, in particular, the non-rationality of a smooth three-dimensional quartic was proved by V. Iskovskikh and Yu. Manin in 1971, and this led immediately to a counterexample to the three-dimensional Luroth problem. Since then, birational rigidity and superrigidity have been proved for a broad class of higher-dimensional ...
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Mathematics of the USSR-Izvestiya, 1983
Let V be a Fano variety, \(K_ V\) the canonical class of V and \(g=(-K^ s_ V)+1\) the genus of V. Then the anticanonical linear system \(| - K_ V|\) defines a closed immersion \(\phi_{| -K_ V|}:V\overset \sim \rightarrow V_{2g-2}\hookrightarrow {\mathbb{P}}^{g+1}\) where \(V_{2g-2}\) is a projective variety of degree 2g-2.
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Let V be a Fano variety, \(K_ V\) the canonical class of V and \(g=(-K^ s_ V)+1\) the genus of V. Then the anticanonical linear system \(| - K_ V|\) defines a closed immersion \(\phi_{| -K_ V|}:V\overset \sim \rightarrow V_{2g-2}\hookrightarrow {\mathbb{P}}^{g+1}\) where \(V_{2g-2}\) is a projective variety of degree 2g-2.
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