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2 results

  • Infinitesimal structure of the pluricanonical double ramification locus

  • Part of
  • David Holmes, Johannes Schmitt
  • Journal:
    Compositio Mathematica / Volume 157 / Issue 10 / October 2021
    Published online by Cambridge University Press:
    14 September 2021, pp. 2280-2337
    Print publication:
    October 2021
    • Article
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  • We prove that a formula for the ‘pluricanonical’ double ramification cycle proposed by Janda, Pandharipande, Pixton, Zvonkine, and the second-named author is in fact the class of a cycle constructed geometrically by the first-named author. Our proof proceeds by a detailed explicit analysis of the deformation theory of the double ramification cycle, both to first and to higher order.

  • 7 - Marked Point Processes

  • from Part I - Point Processes
  • Tomas Björk, Stockholm School of Economics
  • Book:
    Point Processes and Jump Diffusions
    Published online:
    27 May 2021
    Print publication:
    17 June 2021, pp 64-71

  • Summary

    The theory is here generalized to include marked point processes (MPP) on the real line with ageneral mark space. We define and interpret MPP differentials and integrals The compensator and intensity of an MPP is discussed carefully. We present the relevant predictability concept for MPP integrands, andthe connection between MPP integrals and martingales is discussed in detail.