Automorphisms of blowups of threefolds being Fano or having Picard number 1

Truong, Tuyen Trung

doi:10.1017/etds.2016.4

Cited by 4 publications

(6 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Further biochemical and cellular studies in our laboratory demonstrated that S-sulfenylation of this site augments EGFR tyrosine kinase activity, thus creating a positive feedback loop with the enzymatic source of EGF-induced generation of H 2 O 2 and NADPH oxidase (Nox). 6,74 In another example, we demonstrated that S-sulfenylation of SIRT6 Cys18 leads to intermolecular disulfide formation with the transcription factor, HIF1A, disclosing a new mechanism for regulating the expression of multiple glycolytic genes. 69 A recent study of Ssulfenylation with BTD in Arabidopsis thaliana mapped more than 1000 protein targets including AtMAPK4, an orthologue to human MAPK1, which is a known redox switch.…”

Section: Profiling Protein Sulfenic Acids (─Soh)mentioning

confidence: 93%

Activity-Based Sensing for Site-Specific Proteomic Analysis of Cysteine Oxidation

2019

View full text Add to dashboard Cite

Oxidative post-translational modifications (OxiPTMs) of cysteine residues are the molecular foundation of thiol-based redox regulation that modulates physiological events such as cell proliferation, differentiation, and migration and, when dysregulated, can lead to biomolecule damage and cell death. Common OxiPTMs of cysteine thiols (─SH) include reversible modifications such as S-sulfenylation (─SOH), S-glutathionylation (─SSG), disulfide formation (─SSR), S-nitrosylation (─SNO), and S-sulfhydration (─SSH) as well as more biologically stable modifications like S-sulfinylation (─SO 2 H) and S-sulfonylation (─SO 3 H). In the past decade, our laboratory has developed first-in-class chemistry-based tools and proteomic methods to advance the field of thiol-based redox biology and oxidative stress. In this Account, we take the reader through the historical aspects of probe development and application in our laboratory, highlighting key advances in our understanding of sulfur chemistry, in the test tube and in living systems.Offering superior resolution, throughput, accuracy, and reproducibility, mass spectrometry (MS)based proteomics coupled to chemoselective "activity-based" small-molecule probes is the most rigorous technique for global mapping of cysteine OxiPTMs. Herein, we describe the evolution of this field from indirect detection to state-of-the-art site-centric quantitative chemoproteomic approaches that enable mapping of physiological and pathological changes in cysteine oxidation. These methods enable protein and site-level identification, mechanistic studies, mapping foldchanges, and modification stoichiometry. In particular, this Account focuses on activity-based methods for profiling S-sulfenylation, S-sulfinylation, and S-sulfhydration with an eye toward new reactions and methodologies developed in our group as well as their applications that have shed new light on fundamental processes of redox biology. Among several classes of sulfenic acid probes, dimedone-based C-nucleophiles possess superior chemical selectivity and compatibility with tandem MS. Cell-permeable dimedone derivatives with a bioconjugation handle are capable of detecting of S-sulfenylation in living cells. In-depth screening of a C-nucleophile library has yielded several entities with significantly enhanced reactivity over dimedone while maintaining selectivity, and reversible linear C-nucleophiles that enable controlled target release. C-Nucleophiles have also been implemented in tag-switch methods to detect S-sulfhydration. Most recently, activity-based detection of protein S-sulfinylation with electrophilic nitrogen species *

show abstract

Section: Profiling Protein Sulfenic Acids (─Soh)mentioning

confidence: 93%

Activity-Based Sensing for Site-Specific Proteomic Analysis of Cysteine Oxidation

2019

View full text Add to dashboard Cite

show abstract

“…The next step is to translate the condition of positive entropy into a form that can be used to give geometric conclusions. The starting point is an observation of Truong [27]: there is (perhaps after replacing φ with φ −1 ) a dominant eigenvector D of the pull-back φ * : N 1 (X) → N 1 (X), such that D is a nef divisor with D 2 = 0. We will exploit the properties of this divisor to control the intersections φ m (E) ∩ φ n (E) and ultimately show that φ is imprimitive.…”

Section: Step 2: Numerical Consequences Of Positive Entropymentioning

confidence: 99%

“…Question 1 (Bedford, cf. [27]). Does there exist a smooth blow-up of P 3 admitting a positive entropy automorphism?…”

Section: Introductionmentioning

confidence: 99%

“…According to Theorem 1.1, if such an automorphism exists, it must be imprimitive. Truong has also obtained many results on this question, showing that if X is constructed by a sequence of blow-ups of points and curves whose normal bundles satisfy certain constraints, then X admits no positive entropy automorphisms, and that under certain weaker conditions, any positive entropy automorphism has equal first and second dynamical degrees [27], [28]. Theorem 1.1 applies to only a fairly narrow class of threefolds: whereas every smooth projective surface can be obtained as the blow-up of a minimal surface, this is far from true for threefolds.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Some constraints on positive entropy automorphisms of smooth threefolds

Lesieutre¹

2018

Ann. Sci. École Norm. Sup.

View full text Add to dashboard Cite

Suppose that X is a smooth, projective threefold over C and that φ : X → X is an automorphism of positive entropy. We show that one of the following must hold, after replacing φ by an iterate: i) the canonical class of X is numerically trivial; ii) φ is imprimitive; iii) φ is not dynamically minimal. As a consequence, we show that if a smooth threefold M does not admit a primitive automorphism of positive entropy, then no variety constructed by a sequence of smooth blow-ups of M can admit a primitive automorphism of positive entropy.In explaining why the method does not apply to threefolds with terminal singularities, we exhibit a non-uniruled, terminal threefold X with infinitely many K X -negative extremal rays on NE(X).

show abstract

“…The aim of this note is to give a negative answer to the following question raised by Oguiso and Truong (see [Ogu15][Question 5.11] and [Tru15][Question 2]).…”

Section: Introductionmentioning

confidence: 99%