Extracellular ATP (eATP), which has now become recognized as a signaling agent in plants, can regulate growth in a variety of plant cell and tissue types. 1 The application of micromolar concentrations of ATP can induce [Ca 2+ ] cyt fluctuations and promote growth-altering accumulation of ROS and NO in diverse tissues of diverse plants. Nitric oxide (NO) and reactive oxygen species (ROS) are important in guard cell responses. In our original study of this signaling response we found that ATPγS-induced stomatal closing was dependent on the production of ROS and NO.2 Importantly we reported that both ABA and light-induced changes in stomatal aperture were preceded by an increase in the eATP levels of guard cells. A subsequent report by Hao et al. (2012) 3 found that applied ATP promoted stomatal opening, but, in contrast to the results we obtained using ATPγS, they did not observe stomatal closing in Arabidopsis or Vicia faba leaves in response to applied ATP. In this study we carry out additional tests that address questions raised by the findings of Hao et al. Regarding eATP-induced stomatal opening, we hypothesized that moderate inhibition of ectoapyrase activity by application of low concentrations of chemical apyrase inhibitors would cause naturally occurring levels of eATP to increase resulting in stomatal opening. We found that, similar to treatment with 15 μM ATPγS, treatment of leaves with two different apyrase inhibitors at a concentration of 1.5 µg/mL also induces stomatal opening (Fig. 1A).We Keywords: extracellular ATP, apyrase, stomata, abscisic acid, ArabidopsisAbbreviations: ABA, abscisic acid; eATP, extracellular ATP; ROS, reactive oxygen species; NO, nitric oxide; RBOHD/F, NADHP oxidase homolog sub-units D/F; DTT, dithiothreitol; DPI, diphenyleneiodonium; GCA2, growth controlled by ABA 2; ABI2, Abscisic Acid-Insensitive2; PA, phosphatidic acid; gpa, α-subunit of the Arabidopsis heterotrimeric G Protein in Arabidopsis leaves there is a bi-phasic dose-response to applied nucleotides; i.e., lower concentrations induce stomatal opening, while higher concentrations induce closure. two mammalian purinoceptor antagonists, PPaDS and rB2, block both nucleotide-induced stomatal opening and closing. these antagonists also partially block aBa-induced stomatal closure and light-induced stomatal opening. there are two closely related Arabidopsis apyrases, ataPY1 and ataPY2, which are both expressed in guard cells. here we report that low levels of apyrase chemical inhibitors can induce stomatal opening in the dark, while apyrase enzyme blocks aBa-induced stomatal closure. We also demonstrate that high concentrations of atP induce stomatal closure in the light. application of atPγS and chemical apyrase inhibitors at concentrations that have no effect on stomatal closure can lower the threshold for aBa-induced closure. the closure induced by atPγS was not observed in gpa1-3 loss-of-function mutants. these results further confirm the role of extracellular atP in regulating stomatal apertures.

Over the complex numbers, there are 92 plane conics meeting 8 general lines in projective 3-space. Using the Euler class and local degree from motivic homotopy theory, we give an enriched version of this result over any perfect field. This provides a weighted count of the number of plane conics meeting 8 general lines, where the weight of each conic is determined the geometry of its intersections with the 8 given lines. As a corollary, real conics meeting 8 general lines come in two families of equal size.

Over an algebraically closed field k, there are 16 lines on a degree 4 del Pezzo surface, but for other fields the situation is more subtle. In order to improve enumerative results over perfect fields, Kass and Wickelgren introduce a method analogous to counting zeroes of sections of smooth vector bundles using the Poincaré-Hopf theorem in [10]. However, the technique of Kass-Wickelgren requires the enumerative problem to satisfy a certain type of orientability condition. The problem of counting lines on a degree 4 del Pezzo surface does not satisfy this orientability condition, so most of the work of this paper is devoted to circumventing this problem. We do this by restricting to an open set where the orientability condition is satisfied, and checking that the count obtained is well-defined, similarly to an approach developed by Larson and Vogt in [12]. * (X; det E ∨ ) → CH * (X; ω X/k ), and hence we can consider an augmented pushforward p ρ * : CH * (X; det E ∨ ) → CH * −d (Spec k) given as the composition CH * (X; det E ∨ ) CH * (X; det E ∨ ) CH * −d (Spec k). ρ p *

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