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- Bridy, Andrew, et al.
(författare)
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Finite ramification for preimage fields of post-critically finite morphisms
- 2017
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Ingår i: Mathematical Research Letters. - : International Press of Boston, Inc.. - 1073-2780 .- 1945-001X. ; 24:6, s. 1633-1647
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Tidskriftsartikel (refereegranskat)abstract
- Given a finite endomorphism phi of a variety X defined over the field of fractions K of a Dedekind domain, we study the extension K (phi(-infinity)(alpha)) := boolean OR(n >= 1) K (phi(-n) (alpha)) generated by the preimages of alpha under all iterates of phi. In particular when phi is post-critically finite, i.e., there exists a non-empty, Zariski-open W subset of X such that phi(-1) (W) subset of W and phi : W -> X is etale, we prove that K (phi(-infinity) (alpha)) is rami fied over only finitely many primes of K. This provides a large supply of in finite extensions with restricted rami fication, and generalizes results of Aitken-Hajir-Maire [1] in the case X = A(1) and Cullinan-Hajir, Jones-Manes [7, 13] in the case X = P-1. Moreover, we conjecture that this finite rami fication condition characterizes post-critically finite morphisms, and we give an entirely new result showing this for X = P-1. The proof relies on Faltings' theorem and a local argument.
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- Jones, Rafe, et al.
(författare)
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Eventually stable rational functions
- 2017
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Ingår i: International Journal of Number Theory. - : WORLD SCIENTIFIC PUBL CO PTE LTD. - 1793-0421. ; 13:9, s. 2299-2318
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Tidskriftsartikel (refereegranskat)abstract
- For a field K, rational function phi is an element of K(z) of degree at least two, and alpha is an element of P-1(K), we study the polynomials in K[z] whose roots are given by the solutions in K to phi(n)(z) = a, where fn denotes the nth iterate of phi. When the number of irreducible factors of these polynomials stabilizes as n grows, the pair (phi, alpha) is called eventually stable over K. We conjecture that (phi, alpha) is eventually stable over K when K is any global field and a is any point not periodic under f (an additional non-isotriviality hypothesis is necessary in the function field case). We prove the conjecture when K has a discrete valuation for which (1) f has good reduction and (2) facts bijectively on all finite residue extensions. As a corollary, we prove for these maps a conjecture of Sookdeo on the finiteness of S-integral points in backward orbits. We also give several characterizations of eventual stability in terms of natural finiteness conditions, and survey previous work on the phenomenon.
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| 6. |
- Peri, Aviyah, et al.
(författare)
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Combined presentation and immunogenicity analysis reveals a recurrent RAS.Q61K neoantigen in melanoma
- 2021
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Ingår i: Journal of Clinical Investigation. - 0021-9738. ; 131:20
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Tidskriftsartikel (refereegranskat)abstract
- Neoantigens are now recognized drivers of the antitumor immune response. Recurrent neoantigens, shared among groups of patients, have thus become increasingly coveted therapeutic targets. Here, we report on the data-driven identification of a robustly presented, immunogenic neoantigen that is derived from the combination of HLA-A*01:01 and RAS.Q61K. Analysis of large patient cohorts indicated that this combination applies to 3% of patients with melanoma. Using HLA peptidomics, we were able to demonstrate robust endogenous presentation of the neoantigen in 10 tumor samples. We detected specific reactivity to the mutated peptide within tumor-infiltrating lymphocytes (TILs) from 2 unrelated patients, thus confirming its natural immunogenicity. We further investigated the neoantigen-specific clones and their T cell receptors (TCRs) via a combination of TCR sequencing, TCR overexpression, functional assays, and single-cell transcriptomics. Our analysis revealed a diverse repertoire of neoantigen-specific clones with both intra- and interpatient TCR similarities. Moreover, 1 dominant clone proved to cross-react with the highly prevalent RAS.Q61R variant. Transcriptome analysis revealed a high association of TCR clones with specific T cell phenotypes in response to cognate melanoma, with neoantigen-specific cells showing an activated and dysfunctional phenotype. Identification of recurrent neoantigens and their reactive TCRs can promote "off-theshelf" precision immunotherapies, alleviating limitations of personalized treatments.
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| 7. |
- Aad, G., et al.
(författare)
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- 2014
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Tidskriftsartikel (refereegranskat)
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| 8. |
- Aad, G., et al.
(författare)
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- 2014
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Tidskriftsartikel (refereegranskat)
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| 9. |
- Aad, G., et al.
(författare)
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- 2014
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Tidskriftsartikel (refereegranskat)
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| 10. |
- Aad, G., et al.
(författare)
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- 2014
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Ingår i: Physical Review D. Particles and fields. - 0556-2821 .- 1089-4918. ; 89:9
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Tidskriftsartikel (refereegranskat)
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