Browsing by Author "Finashin, Sergey"

Now showing items 1-4 of 4

    • Abundance of 3-Planes on Real Projective Hypersurfaces 

      [OWP-2014-14] Finashin, Sergey; Kharlamov, Viatcheslav (Mathematisches Forschungsinstitut Oberwolfach, 2014-11-11)
      We show that a generic real projective n-dimensional hypersurface of odd degree $d$, such that $4(n-2)=\binom{d+3}{3}$, contains "many" real 3-planes, namely, in the logarithmic scale their number has the same rate of ...

    • Chirality of Real Non-Singular Cubic Fourfolds and Their Pure Deformation Classification 

      [OWP-2019-14] Finashin, Sergey; Kharlamov, Viatcheslav (Mathematisches Forschungsinstitut Oberwolfach, 2019-05-15)
      In our previous works we have classified real non-singular cubic hypersurfaces in the 5-dimensional projective space up to equivalence that includes both real projective transformations and continuous variations of ...

    • Deformation Classification of Real Non-Singular Cubic Threefolds with a Marked Line 

      [OWP-2018-02] Finashin, Sergey; Kharlamov, Viatcheslav (Mathematisches Forschungsinstitut Oberwolfach, 2018-02-21)
      We prove that the space of pairs $(X,l)$ formed by a real non-singular cubic hypersurface $X\subset P^4$ with a real line $l\subset X$ has 18 connected components and give for them several quite explicit interpretations. ...

    • On Wall-Crossing Invariant Combinations of Welschinger Numbers for Rational Surfaces with a Conic Bundle 

      [OWP-2026-06] Finashin, Sergey; Kharlamov, Viatcheslav (Mathematisches Forschungsinstitut Oberwolfach, 2026-09)
      We refine the real enumerative invariants insensitive to changes in the real structure introduced in our previous paper on del Pezzo surfaces, and extend these refined invariants to arbitrary rational surfaces. The ...