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SUMMARY:Jörg Jahnel (University of Siegen)
DTSTART:20210128T130000Z
DTEND:20210128T140000Z
DTSTAMP:20260423T005757Z
UID:AGNTISTA/25
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/25/
 ">On integral points on open degree four del Pezzo surfaces</a>\nby Jörg 
 Jahnel (University of Siegen) as part of Algebraic Geometry and Number The
 ory seminar - ISTA\n\n\nAbstract\nI will report on investigations\, joint 
 with Damaris Schindler \n(Göttingen)\, concerning the algebraic and trans
 cendental Brauer-Manin \nobstructions to integral points on complements of
  a hyperplane section in \ndegree four del Pezzo surfaces. We discuss more
 over two concepts of an \nobstruction at an archimedean place. Concrete ex
 amples are given of pairs \nof non-homogeneous quadratic polynomials in fo
 ur variables representing\n$(0\,0)$ over $\\bbQ$ and over $\\bbZ_p$ for al
 l primes $p$\, but not\nover $\\bbZ$. By blow-up\, these yield cubic polyn
 omials in three variables \nall integral solutions of which satisfy a gcd 
 condition.\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/25/
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